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2528002820 = 2257192693533
BaseRepresentation
bin1001011010101110…
…0100001100000100
320112011212211221002
42112223210030010
520134132042240
61054503512432
7116434445420
oct22653441404
96464784832
102528002820
111087a9aa32
125a6758718
13313985375
1419da5db80
15ebe0cd15
hex96ae4304

2528002820 has 96 divisors (see below), whose sum is σ = 6412089600. Its totient is φ = 817841664.

The previous prime is 2528002817. The next prime is 2528002879. The reversal of 2528002820 is 282008252.

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, 713774 + ... + 717306.

It is an arithmetic number, because the mean of its divisors is an integer number (66792600).

Almost surely, 22528002820 is an apocalyptic number.

2528002820 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 2528002820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206044800).

2528002820 is an abundant number, since it is smaller than the sum of its proper divisors (3884086780).

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

2528002820 is a wasteful number, since it uses less digits than its factorization.

2528002820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3837 (or 3835 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 2528002820 is about 50279.2484032926. The cubic root of 2528002820 is about 1362.2574280730.

The spelling of 2528002820 in words is "two billion, five hundred twenty-eight million, two thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 269 380 532 538 665 1076 1330 1345 1883 2660 2690 3533 3766 5111 5380 7066 7532 9415 10222 14132 17665 18830 20444 24731 25555 35330 35777 37660 49462 51110 67127 70660 71554 98924 102220 123655 134254 143108 178885 247310 268508 335635 357770 469889 494620 671270 715540 939778 950377 1342540 1879556 1900754 2349445 3801508 4698890 4751885 6652639 9397780 9503770 13305278 18057163 19007540 26610556 33263195 36114326 66526390 72228652 90285815 126400141 133052780 180571630 252800282 361143260 505600564 632000705 1264001410 2528002820