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2825395440 = 243572373121
BaseRepresentation
bin1010100001101000…
…0001110011110000
321021220110221220120
42220122001303300
521241300123230
61144210010240
7130005315330
oct25032016360
97256427816
102825395440
11121a95345a
1266a276980
1336047c42a
141cb3550c0
151180a4310
hexa8681cf0

2825395440 has 160 divisors (see below), whose sum is σ = 10445331456. Its totient is φ = 617717760.

The previous prime is 2825395429. The next prime is 2825395451. The reversal of 2825395440 is 445935282.

It is an interprime number because it is at equal distance from previous prime (2825395429) and next prime (2825395451).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2825395392 and 2825395401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2080 + ... + 75200.

Almost surely, 22825395440 is an apocalyptic number.

2825395440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2825395440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222665728).

2825395440 is an abundant number, since it is smaller than the sum of its proper divisors (7619936016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2825395440 is a wasteful number, since it uses less digits than its factorization.

2825395440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73167 (or 73161 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 2825395440 is about 53154.4489201045. The cubic root of 2825395440 is about 1413.7081009440.

The spelling of 2825395440 in words is "two billion, eight hundred twenty-five million, three hundred ninety-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 35 40 42 46 48 56 60 69 70 80 84 92 105 112 115 120 138 140 161 168 184 210 230 240 276 280 322 336 345 368 420 460 483 552 560 644 690 805 840 920 966 1104 1288 1380 1610 1680 1840 1932 2415 2576 2760 3220 3864 4830 5520 6440 7728 9660 12880 19320 38640 73121 146242 219363 292484 365605 438726 511847 584968 731210 877452 1023694 1096815 1169936 1462420 1535541 1681783 1754904 2047388 2193630 2559235 2924840 3071082 3363566 3509808 4094776 4387260 5045349 5118470 5849680 6142164 6727132 7677705 8189552 8408915 8774520 10090698 10236940 11772481 12284328 13454264 15355410 16817830 17549040 20181396 20473880 23544962 24568656 25226745 26908528 30710820 33635660 35317443 40362792 40947760 47089924 50453490 58862405 61421640 67271320 70634886 80725584 94179848 100906980 117724810 122843280 134542640 141269772 176587215 188359696 201813960 235449620 282539544 353174430 403627920 470899240 565079088 706348860 941798480 1412697720 2825395440