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57220704 = 25321910457
BaseRepresentation
bin1101101001000…
…1111001100000
310222200010001100
43122101321200
5104122030304
65402234400
71263240132
oct332217140
9128603040
1057220704
112a332842
12171b5a00
13bb15c08
147857052
155054439
hex3691e60

57220704 has 72 divisors (see below), whose sum is σ = 171302040. Its totient is φ = 18067968.

The previous prime is 57220697. The next prime is 57220753. The reversal of 57220704 is 40702275.

57220704 = T192 + T193 + ... + T704.

57220704 is a `hidden beast` number, since 572 + 20 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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, 244 + ... + 10700.

It is an arithmetic number, because the mean of its divisors is an integer number (2379195).

Almost surely, 257220704 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 57220704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85651020).

57220704 is an abundant number, since it is smaller than the sum of its proper divisors (114081336).

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

57220704 is a wasteful number, since it uses less digits than its factorization.

57220704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10492 (or 10481 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 57220704 is about 7564.4367933112. The cubic root of 57220704 is about 385.3461866247.

Adding to 57220704 its reverse (40702275), we get a palindrome (97922979).

The spelling of 57220704 in words is "fifty-seven million, two hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 10457 20914 31371 41828 62742 83656 94113 125484 167312 188226 198683 250968 334624 376452 397366 501936 596049 752904 794732 1003872 1192098 1505808 1589464 1788147 2384196 3011616 3178928 3576294 4768392 6357856 7152588 9536784 14305176 19073568 28610352 57220704