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57850496 = 2711181227
BaseRepresentation
bin1101110010101…
…1101010000000
311000212002221222
43130223222000
5104302203441
65423534212
71301502224
oct334535200
9130762858
1057850496
112a722a30
121745a368
13bca6782
14797c784
15512ad4b
hex372ba80

57850496 has 64 divisors (see below), whose sum is σ = 126977760. Its totient is φ = 26035200.

The previous prime is 57850483. The next prime is 57850519. The reversal of 57850496 is 69405875.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254735 + ... + 254961.

Almost surely, 257850496 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 57850496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63488880).

57850496 is an abundant number, since it is smaller than the sum of its proper divisors (69127264).

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

57850496 is a wasteful number, since it uses less digits than its factorization.

57850496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The square root of 57850496 is about 7605.9513540385. The cubic root of 57850496 is about 386.7547850431.

The spelling of 57850496 in words is "fifty-seven million, eight hundred fifty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 181 227 352 362 454 704 724 908 1408 1448 1816 1991 2497 2896 3632 3982 4994 5792 7264 7964 9988 11584 14528 15928 19976 23168 29056 31856 39952 41087 63712 79904 82174 127424 159808 164348 254848 319616 328696 451957 657392 903914 1314784 1807828 2629568 3615656 5259136 7231312 14462624 28925248 57850496