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57257952 = 253677881
BaseRepresentation
bin1101101001101…
…0111111100000
310222202000010220
43122122333200
5104124223302
65403123040
71263453543
oct332327740
9128660126
1057257952
112a358824
1217213480
13bb29b5b
14786685a
1550604bc
hex369afe0

57257952 has 48 divisors (see below), whose sum is σ = 150694992. Its totient is φ = 19036160.

The previous prime is 57257951. The next prime is 57257953. The reversal of 57257952 is 25975275.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57257951) and next prime (57257953).

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

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57257951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64552 + ... + 65432.

It is an arithmetic number, because the mean of its divisors is an integer number (3139479).

Almost surely, 257257952 is an apocalyptic number.

It is an amenable number.

57257952 is an abundant number, since it is smaller than the sum of its proper divisors (93437040).

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

57257952 is a wasteful number, since it uses less digits than its factorization.

57257952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1563 counting only the distinct ones).

The product of its digits is 220500, while the sum is 42.

The square root of 57257952 is about 7566.8984399158. The cubic root of 57257952 is about 385.4297825985.

The spelling of 57257952 in words is "fifty-seven million, two hundred fifty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 677 881 1354 1762 2031 2643 2708 3524 4062 5286 5416 7048 8124 10572 10832 14096 16248 21144 21664 28192 32496 42288 64992 84576 596437 1192874 1789311 2385748 3578622 4771496 7157244 9542992 14314488 19085984 28628976 57257952