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8290092672 = 27327196261
BaseRepresentation
bin1111011100010000…
…01100011010000000
3210101202021100020100
413232020030122000
5113434230431142
63450341242400
7412302424251
oct75610143200
923352240210
108290092672
1135745a5364
121734403400
13a216825a4
1458901cb28
15337bedb4c
hex1ee20c680

8290092672 has 48 divisors (see below), whose sum is σ = 23855608530. Its totient is φ = 2763363840.

The previous prime is 8290092667. The next prime is 8290092689. The reversal of 8290092672 is 2762900928.

It can be written as a sum of positive squares in only one way, i.e., 6421778496 + 1868314176 = 80136^2 + 43224^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×82900926723 (a number of 31 digits) contains 333 as substring.

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 5 ways as a sum of consecutive naturals, for example, 3596979 + ... + 3599282.

Almost surely, 28290092672 is an apocalyptic number.

It is an amenable number.

8290092672 is an abundant number, since it is smaller than the sum of its proper divisors (15565515858).

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

8290092672 is a wasteful number, since it uses less digits than its factorization.

8290092672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7196281 (or 7196266 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 8290092672 is about 91049.9460296380. The cubic root of 8290092672 is about 2023.8879366368.

The spelling of 8290092672 in words is "eight billion, two hundred ninety million, ninety-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 7196261 14392522 21588783 28785044 43177566 57570088 64766349 86355132 115140176 129532698 172710264 230280352 259065396 345420528 460560704 518130792 690841056 921121408 1036261584 1381682112 2072523168 2763364224 4145046336 8290092672