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4155502440 = 23351716312497
BaseRepresentation
bin1111011110101111…
…1110111101101000
3101201121022101200210
43313223332331220
532002302034230
61524202501120
7204656121315
oct36753767550
911647271623
104155502440
111842744541
1297b8047a0
13512bc8cab
142b5c71d0c
15194c3eeb0
hexf7afef68

4155502440 has 128 divisors (see below), whose sum is σ = 13281874560. Its totient is φ = 1036468224.

The previous prime is 4155502427. The next prime is 4155502441. The reversal of 4155502440 is 442055514.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4155502398 and 4155502407.

It is not an unprimeable number, because it can be changed into a prime (4155502441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326272 + ... + 338768.

It is an arithmetic number, because the mean of its divisors is an integer number (103764645).

Almost surely, 24155502440 is an apocalyptic number.

4155502440 is a gapful number since it is divisible by the number (40) 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 4155502440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640937280).

4155502440 is an abundant number, since it is smaller than the sum of its proper divisors (9126372120).

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

4155502440 is a wasteful number, since it uses less digits than its factorization.

4155502440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12691 (or 12687 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 4155502440 is about 64463.1867037304. The cubic root of 4155502440 is about 1607.7104965061.

Adding to 4155502440 its reverse (442055514), we get a palindrome (4597557954).

The spelling of 4155502440 in words is "four billion, one hundred fifty-five million, five hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 163 170 204 255 326 340 408 489 510 652 680 815 978 1020 1304 1630 1956 2040 2445 2771 3260 3912 4890 5542 6520 8313 9780 11084 12497 13855 16626 19560 22168 24994 27710 33252 37491 41565 49988 55420 62485 66504 74982 83130 99976 110840 124970 149964 166260 187455 212449 249940 299928 332520 374910 424898 499880 637347 749820 849796 1062245 1274694 1499640 1699592 2037011 2124490 2549388 3186735 4074022 4248980 5098776 6111033 6373470 8148044 8497960 10185055 12222066 12746940 16296088 20370110 24444132 25493880 30555165 34629187 40740220 48888264 61110330 69258374 81480440 103887561 122220660 138516748 173145935 207775122 244441320 277033496 346291870 415550244 519437805 692583740 831100488 1038875610 1385167480 2077751220 4155502440