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57247104 = 273433467
BaseRepresentation
bin1101101001100…
…0010110000000
310222201110021010
43122120112000
5104123401404
65403000520
71263410115
oct332302600
9128643233
1057247104
112a350662
1217209140
13bb24c35
14786290c
15505c189
hex3698580

57247104 has 64 divisors (see below), whose sum is σ = 155643840. Its totient is φ = 18633216.

The previous prime is 57247079. The next prime is 57247117. The reversal of 57247104 is 40174275.

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

It is a congruent number.

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, 14779 + ... + 18245.

It is an arithmetic number, because the mean of its divisors is an integer number (2431935).

Almost surely, 257247104 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 57247104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77821920).

57247104 is an abundant number, since it is smaller than the sum of its proper divisors (98396736).

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

57247104 is a wasteful number, since it uses less digits than its factorization.

57247104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3527 (or 3515 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 57247104 is about 7566.1815997239. The cubic root of 57247104 is about 385.4054400911.

The spelling of 57247104 in words is "fifty-seven million, two hundred forty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 384 516 688 1032 1376 2064 2752 3467 4128 5504 6934 8256 10401 13868 16512 20802 27736 41604 55472 83208 110944 149081 166416 221888 298162 332832 443776 447243 596324 665664 894486 1192648 1331328 1788972 2385296 3577944 4770592 7155888 9541184 14311776 19082368 28623552 57247104