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57974048 = 25111091511
BaseRepresentation
bin1101110100100…
…1110100100000
311001002101102222
43131021310200
5104320132143
65430330212
71302525356
oct335116440
9131071388
1057974048
112a7a7840
12174b9968
13c01aa92
1479b17d6
155152768
hex3749d20

57974048 has 48 divisors (see below), whose sum is σ = 125737920. Its totient is φ = 26092800.

The previous prime is 57974023. The next prime is 57974051. The reversal of 57974048 is 84047975.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37613 + ... + 39123.

It is an arithmetic number, because the mean of its divisors is an integer number (2619540).

Almost surely, 257974048 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 57974048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62868960).

57974048 is an abundant number, since it is smaller than the sum of its proper divisors (67763872).

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

57974048 is a wasteful number, since it uses less digits than its factorization.

57974048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The square root of 57974048 is about 7614.0690829543. The cubic root of 57974048 is about 387.0299215470.

The spelling of 57974048 in words is "fifty-seven million, nine hundred seventy-four thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 109 176 218 352 436 872 1199 1511 1744 2398 3022 3488 4796 6044 9592 12088 16621 19184 24176 33242 38368 48352 66484 132968 164699 265936 329398 531872 658796 1317592 1811689 2635184 3623378 5270368 7246756 14493512 28987024 57974048