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57722496 = 2731331373
BaseRepresentation
bin1101110000110…
…0011010000000
311000121121101020
43130030122000
5104234104441
65421105440
71300430106
oct334143200
9130547336
1057722496
112a645847
12173b8280
13bc60430
147947c76
155102e66
hex370c680

57722496 has 128 divisors (see below), whose sum is σ = 170903040. Its totient is φ = 17141760.

The previous prime is 57722477. The next prime is 57722501. The reversal of 57722496 is 69422775.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154566 + ... + 154938.

It is an arithmetic number, because the mean of its divisors is an integer number (1335180).

Almost surely, 257722496 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 57722496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85451520).

57722496 is an abundant number, since it is smaller than the sum of its proper divisors (113180544).

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

57722496 is a wasteful number, since it uses less digits than its factorization.

57722496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 422 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 57722496 is about 7597.5322309287. The cubic root of 57722496 is about 386.4693298776.

The spelling of 57722496 in words is "fifty-seven million, seven hundred twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 312 372 373 384 403 416 496 624 744 746 806 832 992 1119 1209 1248 1488 1492 1612 1664 1984 2238 2418 2496 2976 2984 3224 3968 4476 4836 4849 4992 5952 5968 6448 8952 9672 9698 11563 11904 11936 12896 14547 17904 19344 19396 23126 23872 25792 29094 34689 35808 38688 38792 46252 47744 51584 58188 69378 71616 77376 77584 92504 116376 138756 143232 150319 154752 155168 185008 232752 277512 300638 310336 370016 450957 465504 555024 601276 620672 740032 901914 931008 1110048 1202552 1480064 1803828 1862016 2220096 2405104 3607656 4440192 4810208 7215312 9620416 14430624 19240832 28861248 57722496