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57324448 = 2583113191
BaseRepresentation
bin1101101010101…
…1001110100000
310222212101100201
43122223032200
5104133340243
65404354544
71264151446
oct332531640
9128771321
1057324448
112a3a3785
1217245a54
13bb511bc
147882b96
15507504d
hex36ab3a0

57324448 has 48 divisors (see below), whose sum is σ = 115831296. Its totient is φ = 27919360.

The previous prime is 57324431. The next prime is 57324451. The reversal of 57324448 is 84442375.

57324448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300033 + ... + 300223.

It is an arithmetic number, because the mean of its divisors is an integer number (2413152).

Almost surely, 257324448 is an apocalyptic number.

It is an amenable number.

57324448 is an abundant number, since it is smaller than the sum of its proper divisors (58506848).

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

57324448 is a wasteful number, since it uses less digits than its factorization.

57324448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 389 counting only the distinct ones).

The product of its digits is 107520, while the sum is 37.

The square root of 57324448 is about 7571.2910391822. The cubic root of 57324448 is about 385.5789299966.

The spelling of 57324448 in words is "fifty-seven million, three hundred twenty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 83 113 166 191 226 332 382 452 664 764 904 1328 1528 1808 2656 3056 3616 6112 9379 15853 18758 21583 31706 37516 43166 63412 75032 86332 126824 150064 172664 253648 300128 345328 507296 690656 1791389 3582778 7165556 14331112 28662224 57324448