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2057504976 = 24341587581
BaseRepresentation
bin111101010100011…
…0000100011010000
312022101120002020000
41322220300203100
513203210124401
6540055250000
7101662334532
oct17250604320
95271502200
102057504976
11966453a3a
12495079900
1326a35c787
14157387852
15c0971186
hex7aa308d0

2057504976 has 50 divisors (see below), whose sum is σ = 5955020082. Its totient is φ = 685834560.

The previous prime is 2057504957. The next prime is 2057504987. The reversal of 2057504976 is 6794057502.

2057504976 is a `hidden beast` number, since 2 + 0 + 57 + 504 + 97 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2054264976 + 3240000 = 45324^2 + 1800^2 .

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 792495 + ... + 795086.

Almost surely, 22057504976 is an apocalyptic number.

It is an amenable number.

2057504976 is an abundant number, since it is smaller than the sum of its proper divisors (3897515106).

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

2057504976 is a wasteful number, since it uses less digits than its factorization.

2057504976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587601 (or 1587586 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 2057504976 is about 45359.7285706165. The cubic root of 2057504976 is about 1271.8824206020.

The spelling of 2057504976 in words is "two billion, fifty-seven million, five hundred four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1587581 3175162 4762743 6350324 9525486 12700648 14288229 19050972 25401296 28576458 38101944 42864687 57152916 76203888 85729374 114305832 128594061 171458748 228611664 257188122 342917496 514376244 685834992 1028752488 2057504976