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57055152 = 24371143359
BaseRepresentation
bin1101100110100…
…1011110110000
310222100200221210
43121221132300
5104101231102
65354520120
71261650360
oct331513660
9128320853
1057055152
112a22a420
1217136040
13ba8875b
1478129a0
15502036c
hex36697b0

57055152 has 160 divisors (see below), whose sum is σ = 188559360. Its totient is φ = 14434560.

The previous prime is 57055129. The next prime is 57055153. The reversal of 57055152 is 25155075.

It is not an unprimeable number, because it can be changed into a prime (57055153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158749 + ... + 159107.

It is an arithmetic number, because the mean of its divisors is an integer number (1178496).

Almost surely, 257055152 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 57055152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94279680).

57055152 is an abundant number, since it is smaller than the sum of its proper divisors (131504208).

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

57055152 is a wasteful number, since it uses less digits than its factorization.

57055152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 8750, while the sum is 30.

The square root of 57055152 is about 7553.4860825979. The cubic root of 57055152 is about 384.9741974050.

The spelling of 57055152 in words is "fifty-seven million, fifty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 43 44 48 56 66 77 84 86 88 112 129 132 154 168 172 176 231 258 264 301 308 336 344 359 462 473 516 528 602 616 688 718 903 924 946 1032 1077 1204 1232 1419 1436 1806 1848 1892 2064 2154 2408 2513 2838 2872 3311 3612 3696 3784 3949 4308 4816 5026 5676 5744 6622 7224 7539 7568 7898 8616 9933 10052 11352 11847 13244 14448 15078 15437 15796 17232 19866 20104 22704 23694 26488 27643 30156 30874 31592 39732 40208 46311 47388 52976 55286 60312 61748 63184 79464 82929 92622 94776 108059 110572 120624 123496 158928 165858 169807 185244 189552 216118 221144 246992 324177 331716 339614 370488 432236 442288 509421 648354 663432 679228 740976 864472 1018842 1188649 1296708 1326864 1358456 1728944 2037684 2377298 2593416 2716912 3565947 4075368 4754596 5186832 7131894 8150736 9509192 14263788 19018384 28527576 57055152