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57464901 = 3213237781
BaseRepresentation
bin1101101100110…
…1100001000101
311000010112000200
43123031201011
5104202334101
65411401113
71265305104
oct333154105
9130115020
1057464901
112a48a25a
12172b3199
13bba0100
1478bc03b
1550a1986
hex36cd845

57464901 has 18 divisors (see below), whose sum is σ = 89883378. Its totient is φ = 35362080.

The previous prime is 57464893. The next prime is 57464923. The reversal of 57464901 is 10946475.

57464901 is a `hidden beast` number, since 5 + 7 + 4 + 649 + 0 + 1 = 666.

57464901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1887876 + 55577025 = 1374^2 + 7455^2 .

It is not a de Polignac number, because 57464901 - 23 = 57464893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57464951) 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 17 ways as a sum of consecutive naturals, for example, 17370 + ... + 20411.

It is an arithmetic number, because the mean of its divisors is an integer number (4993521).

Almost surely, 257464901 is an apocalyptic number.

It is an amenable number.

57464901 is a deficient number, since it is larger than the sum of its proper divisors (32418477).

57464901 is a wasteful number, since it uses less digits than its factorization.

57464901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37813 (or 37797 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 57464901 is about 7580.5607312388. The cubic root of 57464901 is about 385.8935807825.

The spelling of 57464901 in words is "fifty-seven million, four hundred sixty-four thousand, nine hundred one".

Divisors: 1 3 9 13 39 117 169 507 1521 37781 113343 340029 491153 1473459 4420377 6384989 19154967 57464901