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57010944 = 283193907
BaseRepresentation
bin1101100101111…
…0101100000000
310222021110022110
43121132230000
5104043322234
65353535320
71261404444
oct331365400
9128243273
1057010944
112a1aa191
1217114540
13ba715b3
147800824
1550121e9
hex365eb00

57010944 has 72 divisors (see below), whose sum is σ = 159759040. Its totient is φ = 17998848.

The previous prime is 57010937. The next prime is 57010973. The reversal of 57010944 is 44901075.

It is a happy number.

It is a super-2 number, since 2×570109442 = 6500495471542272, which contains 22 as substring.

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, 12639 + ... + 16545.

Almost surely, 257010944 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 57010944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79879520).

57010944 is an abundant number, since it is smaller than the sum of its proper divisors (102748096).

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

57010944 is a wasteful number, since it uses less digits than its factorization.

57010944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3945 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 57010944 is about 7550.5591845902. The cubic root of 57010944 is about 384.8747419587.

The spelling of 57010944 in words is "fifty-seven million, ten thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 3648 3907 4864 7296 7814 11721 14592 15628 23442 31256 46884 62512 74233 93768 125024 148466 187536 222699 250048 296932 375072 445398 500096 593864 750144 890796 1000192 1187728 1500288 1781592 2375456 3000576 3563184 4750912 7126368 9501824 14252736 19003648 28505472 57010944