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57640704 = 283116823
BaseRepresentation
bin1101101111100…
…0011100000000
311000110110011220
43123320130000
5104224000304
65415235040
71266636462
oct333703400
9130413156
1057640704
112a59a350
1217378a80
13bc32134
147926132
1550d8ad9
hex36f8700

57640704 has 72 divisors (see below), whose sum is σ = 167379072. Its totient is φ = 17464320.

The previous prime is 57640673. The next prime is 57640721. The reversal of 57640704 is 40704675.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 5037 + ... + 11859.

Almost surely, 257640704 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 57640704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83689536).

57640704 is an abundant number, since it is smaller than the sum of its proper divisors (109738368).

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

57640704 is a wasteful number, since it uses less digits than its factorization.

57640704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6853 (or 6839 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 57640704 is about 7592.1475222759. The cubic root of 57640704 is about 386.2867029774.

The spelling of 57640704 in words is "fifty-seven million, six hundred forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 6823 8448 13646 20469 27292 40938 54584 75053 81876 109168 150106 163752 218336 225159 300212 327504 436672 450318 600424 655008 873344 900636 1200848 1310016 1746688 1801272 2401696 2620032 3602544 4803392 5240064 7205088 9606784 14410176 19213568 28820352 57640704