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57407441 = 713248527
BaseRepresentation
bin1101101011111…
…1011111010001
311000000121012112
43122333133101
5104144014231
65410235105
71264645430
oct332773721
9130017175
1057407441
112a450073
1217285a95
13bb7cc00
1478a5117
15508e92b
hex36bf7d1

57407441 has 12 divisors (see below), whose sum is σ = 71044992. Its totient is φ = 45420336.

The previous prime is 57407437. The next prime is 57407447. The reversal of 57407441 is 14470475.

57407441 = 502 + 512 + ... + 5562.

It is not a de Polignac number, because 57407441 - 22 = 57407437 is a prime.

It is a super-2 number, since 2×574074412 = 6591228564336962, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 57407398 and 57407407.

It is not an unprimeable number, because it can be changed into a prime (57407447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23081 + ... + 25446.

It is an arithmetic number, because the mean of its divisors is an integer number (5920416).

Almost surely, 257407441 is an apocalyptic number.

It is an amenable number.

57407441 is a deficient number, since it is larger than the sum of its proper divisors (13637551).

57407441 is a wasteful number, since it uses less digits than its factorization.

57407441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48560 (or 48547 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 32.

The square root of 57407441 is about 7576.7698262518. The cubic root of 57407441 is about 385.7649176658.

The spelling of 57407441 in words is "fifty-seven million, four hundred seven thousand, four hundred forty-one".

Divisors: 1 7 13 91 169 1183 48527 339689 630851 4415957 8201063 57407441