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57984147 = 3313233709
BaseRepresentation
bin1101110100110…
…0010010010011
311001002220022000
43131030102103
5104320443042
65430445043
71302566664
oct335142223
9131086260
1057984147
112a804391
1217503783
13c022560
1479b536b
15515574c
hex374c493

57984147 has 32 divisors (see below), whose sum is σ = 93038400. Its totient is φ = 35479296.

The previous prime is 57984131. The next prime is 57984149. The reversal of 57984147 is 74148975.

It is a happy number.

57984147 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57984147 - 24 = 57984131 is a prime.

It is a super-2 number, since 2×579841472 = 6724322606635218, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57984149) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 81429 + ... + 82137.

It is an arithmetic number, because the mean of its divisors is an integer number (2907450).

Almost surely, 257984147 is an apocalyptic number.

57984147 is a deficient number, since it is larger than the sum of its proper divisors (35054253).

57984147 is a wasteful number, since it uses less digits than its factorization.

57984147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 958 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 57984147 is about 7614.7322342943. The cubic root of 57984147 is about 387.0523936035.

The spelling of 57984147 in words is "fifty-seven million, nine hundred eighty-four thousand, one hundred forty-seven".

Divisors: 1 3 9 13 27 39 117 233 351 699 709 2097 2127 3029 6291 6381 9087 9217 19143 27261 27651 81783 82953 165197 248859 495591 1486773 2147561 4460319 6442683 19328049 57984147