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57040848 = 243517863
BaseRepresentation
bin1101100110010…
…1111111010000
310222022222100000
43121211333100
5104100301343
65354330000
71261560564
oct331457720
9128288300
1057040848
112a21a6a7
1217129900
13ba820a7
14780b6a4
15501aed3
hex3665fd0

57040848 has 120 divisors (see below), whose sum is σ = 175488768. Its totient is φ = 17874432.

The previous prime is 57040843. The next prime is 57040859. The reversal of 57040848 is 84804075.

57040848 is a `hidden beast` number, since 570 + 4 + 0 + 84 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57040843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65665 + ... + 66527.

Almost surely, 257040848 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 57040848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87744384).

57040848 is an abundant number, since it is smaller than the sum of its proper divisors (118447920).

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

57040848 is a wasteful number, since it uses less digits than its factorization.

57040848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 57040848 is about 7552.5391756680. The cubic root of 57040848 is about 384.9420230907.

The spelling of 57040848 in words is "fifty-seven million, forty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 243 272 306 324 408 432 459 486 612 648 816 863 918 972 1224 1296 1377 1726 1836 1944 2448 2589 2754 3452 3672 3888 4131 5178 5508 6904 7344 7767 8262 10356 11016 13808 14671 15534 16524 20712 22032 23301 29342 31068 33048 41424 44013 46602 58684 62136 66096 69903 88026 93204 117368 124272 132039 139806 176052 186408 209709 234736 264078 279612 352104 372816 396117 419418 528156 559224 704208 792234 838836 1056312 1118448 1188351 1584468 1677672 2112624 2376702 3168936 3355344 3565053 4753404 6337872 7130106 9506808 14260212 19013616 28520424 57040848