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57109248 = 283273541
BaseRepresentation
bin1101100111011…
…0101100000000
310222110110011100
43121312230000
5104104443443
65400014400
71262264160
oct331665400
9128413140
1057109248
112a267029
1217161400
13baa7271
1478285a0
1550313d3
hex3676b00

57109248 has 108 divisors (see below), whose sum is σ = 188236048. Its totient is φ = 16312320.

The previous prime is 57109211. The next prime is 57109267. The reversal of 57109248 is 84290175.

It is a super-2 number, since 2×571092482 = 6522932414251008, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14358 + ... + 17898.

Almost surely, 257109248 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 57109248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94118024).

57109248 is an abundant number, since it is smaller than the sum of its proper divisors (131126800).

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

57109248 is a wasteful number, since it uses less digits than its factorization.

57109248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3570 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 57109248 is about 7557.0660973687. The cubic root of 57109248 is about 385.0958281727.

The spelling of 57109248 in words is "fifty-seven million, one hundred nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 3541 4032 5376 7082 8064 10623 14164 16128 21246 24787 28328 31869 42492 49574 56656 63738 74361 84984 99148 113312 127476 148722 169968 198296 223083 226624 254952 297444 339936 396592 446166 453248 509904 594888 679872 793184 892332 906496 1019808 1189776 1359744 1586368 1784664 2039616 2379552 2719488 3172736 3569328 4079232 4759104 6345472 7138656 8158464 9518208 14277312 19036416 28554624 57109248