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57661056 = 273250053
BaseRepresentation
bin1101101111110…
…1011010000000
311000111111002200
43123331122000
5104230123211
65415513200
71300053015
oct333753200
9130444080
1057661056
112a603672
1217388800
13bc3b48b
14792d70c
1550deb56
hex36fd680

57661056 has 48 divisors (see below), whose sum is σ = 165929010. Its totient is φ = 19219968.

The previous prime is 57661039. The next prime is 57661103. The reversal of 57661056 is 65016675.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 33454656 + 24206400 = 5784^2 + 4920^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 57661056.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23875 + ... + 26178.

Almost surely, 257661056 is an apocalyptic number.

It is an amenable number.

57661056 is an abundant number, since it is smaller than the sum of its proper divisors (108267954).

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

57661056 is a wasteful number, since it uses less digits than its factorization.

57661056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50073 (or 50058 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 57661056 is about 7593.4877362119. The cubic root of 57661056 is about 386.3321614893.

The spelling of 57661056 in words is "fifty-seven million, six hundred sixty-one thousand, fifty-six".

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 50053 100106 150159 200212 300318 400424 450477 600636 800848 900954 1201272 1601696 1801908 2402544 3203392 3603816 4805088 6406784 7207632 9610176 14415264 19220352 28830528 57661056