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57019424 = 2571173317
BaseRepresentation
bin1101100110000…
…0110000100000
310222021212221112
43121200300200
5104044110144
65354042452
71261441250
oct331406040
9128255845
1057019424
112a2055a0
1217119428
13ba75407
147803960
15501499e
hex3660c20

57019424 has 96 divisors (see below), whose sum is σ = 142321536. Its totient is φ = 21841920.

The previous prime is 57019381. The next prime is 57019439. The reversal of 57019424 is 42491075.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 179714 + ... + 180030.

It is an arithmetic number, because the mean of its divisors is an integer number (1482516).

Almost surely, 257019424 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 57019424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71160768).

57019424 is an abundant number, since it is smaller than the sum of its proper divisors (85302112).

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

57019424 is a wasteful number, since it uses less digits than its factorization.

57019424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 57019424 is about 7551.1207115236. The cubic root of 57019424 is about 384.8938235349.

The spelling of 57019424 in words is "fifty-seven million, nineteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 73 77 88 112 146 154 176 224 292 308 317 352 511 584 616 634 803 1022 1168 1232 1268 1606 2044 2219 2336 2464 2536 3212 3487 4088 4438 5072 5621 6424 6974 8176 8876 10144 11242 12848 13948 16352 17752 22484 23141 24409 25696 27896 35504 44968 46282 48818 55792 71008 89936 92564 97636 111584 161987 179872 185128 195272 254551 323974 370256 390544 509102 647948 740512 781088 1018204 1295896 1781857 2036408 2591792 3563714 4072816 5183584 7127428 8145632 14254856 28509712 57019424