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57257216 = 281911171
BaseRepresentation
bin1101101001101…
…0110100000000
310222201222010122
43122122310000
5104124212331
65403115412
71263451442
oct332326400
9128658118
1057257216
112a358215
1217212b68
13bb29713
147866492
15506017b
hex369ad00

57257216 has 36 divisors (see below), whose sum is σ = 114987264. Its totient is φ = 28454400.

The previous prime is 57257183. The next prime is 57257219. The reversal of 57257216 is 61275275.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57257219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48311 + ... + 49481.

Almost surely, 257257216 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 57257216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57493632).

57257216 is an abundant number, since it is smaller than the sum of its proper divisors (57730048).

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

57257216 is a wasteful number, since it uses less digits than its factorization.

57257216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1364 counting only the distinct ones).

The product of its digits is 29400, while the sum is 35.

The square root of 57257216 is about 7566.8498068879. The cubic root of 57257216 is about 385.4281311392.

The spelling of 57257216 in words is "fifty-seven million, two hundred fifty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 191 256 382 764 1171 1528 2342 3056 4684 6112 9368 12224 18736 24448 37472 48896 74944 149888 223661 299776 447322 894644 1789288 3578576 7157152 14314304 28628608 57257216