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2685726976 = 28412792
BaseRepresentation
bin1010000000010100…
…1111000100000000
320221011200001210111
42200011033010000
521000021230401
61122300241104
7123361205542
oct24005170400
96834601714
102685726976
111159028479
1262b540194
1333a559c7a
141b6999692
1510abb5e51
hexa014f100

2685726976 has 81 divisors (see below), whose sum is σ = 5565343413. Its totient is φ = 1293527040.

The previous prime is 2685726961. The next prime is 2685726977. The reversal of 2685726976 is 6796275862.

The square root of 2685726976 is 51824.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 129413376 + 2556313600 = 11376^2 + 50560^2 .

It is a super-2 number, since 2×26857269762 = 14426258779228209152, which contains 22 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

Its product of digits (15240960) is a multiple of the sum of its prime factors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 2685726976.

It is not an unprimeable number, because it can be changed into a prime (2685726977) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33996505 + ... + 33996583.

Almost surely, 22685726976 is an apocalyptic number.

2685726976 is the 51824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2685726976

2685726976 is an abundant number, since it is smaller than the sum of its proper divisors (2879616437).

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

2685726976 is an frugal number, since it uses more digits than its factorization.

2685726976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 122 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 58.

The cubic root of 2685726976 is about 1390.0186281857.

The spelling of 2685726976 in words is "two billion, six hundred eighty-five million, seven hundred twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 41 64 79 82 128 158 164 256 316 328 632 656 1264 1312 1681 2528 2624 3239 3362 5056 5248 6241 6478 6724 10112 10496 12482 12956 13448 20224 24964 25912 26896 49928 51824 53792 99856 103648 107584 132799 199712 207296 215168 255881 265598 399424 414592 430336 511762 531196 798848 829184 1023524 1062392 1597696 2047048 2124784 4094096 4249568 8188192 8499136 10491121 16376384 16998272 20982242 32752768 33996544 41964484 65505536 83928968 167857936 335715872 671431744 1342863488 2685726976