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57385464 = 23331137563
BaseRepresentation
bin1101101011101…
…0000111111000
310222222111001120
43122322013320
5104142313324
65405545240
71264524363
oct332720770
9128874046
1057385464
112a435604
1217275220
13bb72bc6
14789b0da
155088179
hex36ba1f8

57385464 has 64 divisors (see below), whose sum is σ = 149437440. Its totient is φ = 18343680.

The previous prime is 57385463. The next prime is 57385481. The reversal of 57385464 is 46458375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57385463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101647 + ... + 102209.

It is an arithmetic number, because the mean of its divisors is an integer number (2334960).

Almost surely, 257385464 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 57385464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74718720).

57385464 is an abundant number, since it is smaller than the sum of its proper divisors (92051976).

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

57385464 is a wasteful number, since it uses less digits than its factorization.

57385464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 736 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 57385464 is about 7575.3193992069. The cubic root of 57385464 is about 385.7156845726.

The spelling of 57385464 in words is "fifty-seven million, three hundred eighty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 137 186 248 274 372 411 548 563 744 822 1096 1126 1644 1689 2252 3288 3378 4247 4504 6756 8494 12741 13512 16988 17453 25482 33976 34906 50964 52359 69812 77131 101928 104718 139624 154262 209436 231393 308524 418872 462786 617048 925572 1851144 2391061 4782122 7173183 9564244 14346366 19128488 28692732 57385464