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57696640 = 275175303
BaseRepresentation
bin1101110000011…
…0000110000000
311000120021220121
43130012012000
5104232243030
65420350024
71300261531
oct334060600
9130507817
1057696640
112a628381
12173a5314
13bc51731
14793c688
1550ea47a
hex3706180

57696640 has 64 divisors (see below), whose sum is σ = 146072160. Its totient is φ = 21716992.

The previous prime is 57696637. The next prime is 57696671. The reversal of 57696640 is 4669675.

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, 8229 + ... + 13531.

Almost surely, 257696640 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 57696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73036080).

57696640 is an abundant number, since it is smaller than the sum of its proper divisors (88375520).

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

57696640 is a wasteful number, since it uses less digits than its factorization.

57696640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5339 (or 5327 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The square root of 57696640 is about 7595.8304351796. The cubic root of 57696640 is about 386.4116167151.

The spelling of 57696640 in words is "fifty-seven million, six hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2720 5303 5440 10606 10880 21212 26515 42424 53030 84848 90151 106060 169696 180302 212120 339392 360604 424240 450755 678784 721208 848480 901510 1442416 1696960 1803020 2884832 3393920 3606040 5769664 7212080 11539328 14424160 28848320 57696640