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57424416 = 253785453
BaseRepresentation
bin1101101100001…
…1101000100000
311000001110111020
43123003220200
5104200040131
65410445440
71265046060
oct333035040
9130043436
1057424416
112a4618a5
1217293880
13bb8785a
1478ab3a0
155094996
hex36c3a20

57424416 has 48 divisors (see below), whose sum is σ = 172275264. Its totient is φ = 16406784.

The previous prime is 57424391. The next prime is 57424429. The reversal of 57424416 is 61442475.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42055 + ... + 43398.

It is an arithmetic number, because the mean of its divisors is an integer number (3589068).

Almost surely, 257424416 is an apocalyptic number.

57424416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

57424416 is an abundant number, since it is smaller than the sum of its proper divisors (114850848).

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

57424416 is a wasteful number, since it uses less digits than its factorization.

57424416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85473 (or 85465 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 57424416 is about 7577.8899437772. The cubic root of 57424416 is about 385.8029366290.

The spelling of 57424416 in words is "fifty-seven million, four hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 85453 170906 256359 341812 512718 598171 683624 1025436 1196342 1367248 1794513 2050872 2392684 2734496 3589026 4101744 4785368 7178052 8203488 9570736 14356104 19141472 28712208 57424416