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57434377 = 71113181317
BaseRepresentation
bin1101101100011…
…0000100001001
311000001222011011
43123012010021
5104200400002
65411003521
71265120110
oct333060411
9130058134
1057434377
112a469330
12172995a1
13bb8c250
1478b0c77
1550978d7
hex36c6109

57434377 has 32 divisors (see below), whose sum is σ = 77785344. Its totient is φ = 40953600.

The previous prime is 57434371. The next prime is 57434407. The reversal of 57434377 is 77343475.

It is a cyclic number.

It is not a de Polignac number, because 57434377 - 219 = 56910089 is a prime.

It is a super-2 number, since 2×574343772 = 6597415322756258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57434371) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 181023 + ... + 181339.

It is an arithmetic number, because the mean of its divisors is an integer number (2430792).

Almost surely, 257434377 is an apocalyptic number.

It is an amenable number.

57434377 is a deficient number, since it is larger than the sum of its proper divisors (20350967).

57434377 is a wasteful number, since it uses less digits than its factorization.

57434377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529.

The product of its digits is 246960, while the sum is 40.

The square root of 57434377 is about 7578.5471562827. The cubic root of 57434377 is about 385.8252428252.

It can be divided in two parts, 57 and 434377, that added together give a palindrome (434434).

The spelling of 57434377 in words is "fifty-seven million, four hundred thirty-four thousand, three hundred seventy-seven".

Divisors: 1 7 11 13 77 91 143 181 317 1001 1267 1991 2219 2353 3487 4121 13937 16471 24409 25883 28847 45331 57377 181181 317317 401639 631147 745901 4418029 5221307 8204911 57434377