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57533076 = 22323747919
BaseRepresentation
bin1101101101111…
…0001010010100
311000020222112200
43123132022110
5104212024301
65413044500
71266010626
oct333361224
9130228480
1057533076
112a5264a7
1217326730
13bbc5153
1478d8c16
1550b6c86
hex36de294

57533076 has 72 divisors (see below), whose sum is σ = 152705280. Its totient is φ = 18242496.

The previous prime is 57533057. The next prime is 57533081. The reversal of 57533076 is 67033575.

57533076 is a `hidden beast` number, since 57 + 533 + 0 + 76 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 57533076.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62145 + ... + 63063.

Almost surely, 257533076 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 57533076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76352640).

57533076 is an abundant number, since it is smaller than the sum of its proper divisors (95172204).

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

57533076 is a wasteful number, since it uses less digits than its factorization.

57533076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 36.

The square root of 57533076 is about 7585.0560973535. The cubic root of 57533076 is about 386.0461254803.

The spelling of 57533076 in words is "fifty-seven million, five hundred thirty-three thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 47 74 94 111 141 148 188 222 282 333 423 444 564 666 846 919 1332 1692 1739 1838 2757 3478 3676 5217 5514 6956 8271 10434 11028 15651 16542 20868 31302 33084 34003 43193 62604 68006 86386 102009 129579 136012 172772 204018 259158 306027 388737 408036 518316 612054 777474 1224108 1554948 1598141 3196282 4794423 6392564 9588846 14383269 19177692 28766538 57533076