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57408714 = 232113147199
BaseRepresentation
bin1101101011111…
…1110011001010
311000000122221200
43122333303022
5104144034324
65410245030
71264652226
oct332776312
9130018850
1057408714
112a451020
1217286776
13bb8066c
1478a5786
15508eec9
hex36bfcca

57408714 has 96 divisors (see below), whose sum is σ = 143769600. Its totient is φ = 16394400.

The previous prime is 57408653. The next prime is 57408727. The reversal of 57408714 is 41780475.

57408714 is a `hidden beast` number, since 574 + 0 + 87 + 1 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288387 + ... + 288585.

It is an arithmetic number, because the mean of its divisors is an integer number (1497600).

Almost surely, 257408714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57408714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71884800).

57408714 is an abundant number, since it is smaller than the sum of its proper divisors (86360886).

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

57408714 is a wasteful number, since it uses less digits than its factorization.

57408714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 57408714 is about 7576.8538325614. The cubic root of 57408714 is about 385.7677690680.

The spelling of 57408714 in words is "fifty-seven million, four hundred eight thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 31 33 47 62 66 93 94 99 141 186 198 199 279 282 341 398 423 517 558 597 682 846 1023 1034 1194 1457 1551 1791 2046 2189 2914 3069 3102 3582 4371 4378 4653 6138 6169 6567 8742 9306 9353 12338 13113 13134 16027 18507 18706 19701 26226 28059 32054 37014 39402 48081 55521 56118 67859 84177 96162 102883 111042 135718 144243 168354 203577 205766 288486 289943 308649 407154 579886 610731 617298 869829 925947 1221462 1739658 1851894 2609487 3189373 5218974 6378746 9568119 19136238 28704357 57408714