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2902772992 = 2878631877
BaseRepresentation
bin1010110100000100…
…1100110100000000
321111022002010221211
42231001030310000
521421102213432
61200012255504
7131635110010
oct25501146400
97438063854
102902772992
11125a5a3349
12690171594
13373501c72
141d7737c40
1511ec8ad47
hexad04cd00

2902772992 has 72 divisors (see below), whose sum is σ = 6633156096. Its totient is φ = 1241942016.

The previous prime is 2902772959. The next prime is 2902773019. The reversal of 2902772992 is 2992772092.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1545558 + ... + 1547434.

It is an arithmetic number, because the mean of its divisors is an integer number (92127168).

Almost surely, 22902772992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2902772992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3316578048).

2902772992 is an abundant number, since it is smaller than the sum of its proper divisors (3730383104).

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

2902772992 is an equidigital number, since it uses as much as digits as its factorization.

2902772992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 49.

The square root of 2902772992 is about 53877.3885038984. The cubic root of 2902772992 is about 1426.4975317977.

The spelling of 2902772992 in words is "two billion, nine hundred two million, seven hundred seventy-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 863 896 1726 1792 1877 3452 3754 6041 6904 7508 12082 13139 13808 15016 24164 26278 27616 30032 48328 52556 55232 60064 96656 105112 110464 120128 193312 210224 220928 240256 386624 420448 480512 773248 840896 1546496 1619851 1681792 3239702 3363584 6479404 11338957 12958808 22677914 25917616 45355828 51835232 90711656 103670464 181423312 207340928 362846624 414681856 725693248 1451386496 2902772992