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57402087552 = 273249828201
BaseRepresentation
bin110101011101011011…
…100101100010000000
312111011110011011211200
4311131123211202000
51420024413300202
642211541541200
74101322456635
oct653533454200
9174143134750
1057402087552
1122386a88a87
12b15ba14800
13554a4684a4
142ac783618c
15175e635e1c
hexd5d6e5880

57402087552 has 48 divisors (see below), whose sum is σ = 165180489630. Its totient is φ = 19134028800.

The previous prime is 57402087529. The next prime is 57402087571. The reversal of 57402087552 is 25578020475.

57402087552 is a `hidden beast` number, since 5 + 74 + 0 + 20 + 8 + 7 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57128648256 + 273439296 = 239016^2 + 16536^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 57402087498 and 57402087507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24912949 + ... + 24915252.

Almost surely, 257402087552 is an apocalyptic number.

It is an amenable number.

57402087552 is an abundant number, since it is smaller than the sum of its proper divisors (107778402078).

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

57402087552 is a wasteful number, since it uses less digits than its factorization.

57402087552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49828221 (or 49828206 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The spelling of 57402087552 in words is "fifty-seven billion, four hundred two million, eighty-seven thousand, five hundred fifty-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 49828201 99656402 149484603 199312804 298969206 398625608 448453809 597938412 797251216 896907618 1195876824 1594502432 1793815236 2391753648 3189004864 3587630472 4783507296 6378009728 7175260944 9567014592 14350521888 19134029184 28701043776 57402087552