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57344441 = 711279857
BaseRepresentation
bin1101101011000…
…0000110111001
310222220101210012
43122300012321
5104140010231
65405031305
71264263650
oct332600671
9128811705
1057344441
112a407800
1217255535
13bb5a32b
14788a197
15507ae2b
hex36b01b9

57344441 has 24 divisors (see below), whose sum is σ = 73032960. Its totient is φ = 44066880.

The previous prime is 57344431. The next prime is 57344447. The reversal of 57344441 is 14444375.

57344441 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 57344441 - 210 = 57343417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 57344398 and 57344407.

It is not an unprimeable number, because it can be changed into a prime (57344447) 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 23 ways as a sum of consecutive naturals, for example, 66485 + ... + 67341.

It is an arithmetic number, because the mean of its divisors is an integer number (3043040).

Almost surely, 257344441 is an apocalyptic number.

It is an amenable number.

57344441 is a deficient number, since it is larger than the sum of its proper divisors (15688519).

57344441 is a wasteful number, since it uses less digits than its factorization.

57344441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 954 counting only the distinct ones).

The product of its digits is 26880, while the sum is 32.

The square root of 57344441 is about 7572.6112405167. The cubic root of 57344441 is about 385.6237508004.

The spelling of 57344441 in words is "fifty-seven million, three hundred forty-four thousand, four hundred forty-one".

Divisors: 1 7 11 77 79 121 553 847 857 869 5999 6083 9427 9559 65989 66913 67703 103697 473921 725879 744733 5213131 8192063 57344441