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57434480 = 2451275653
BaseRepresentation
bin1101101100011…
…0000101110000
311000001222021222
43123012011300
5104200400410
65411004212
71265120315
oct333060560
9130058258
1057434480
112a469414
1217299668
13bb8c2cc
1478b0d0c
155097955
hex36c6170

57434480 has 40 divisors (see below), whose sum is σ = 134610432. Its totient is φ = 22788864.

The previous prime is 57434467. The next prime is 57434491. The reversal of 57434480 is 8443475.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 57434480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7334 + ... + 12986.

Almost surely, 257434480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57434480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67305216).

57434480 is an abundant number, since it is smaller than the sum of its proper divisors (77175952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57434480 is a wasteful number, since it uses less digits than its factorization.

57434480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5793 (or 5787 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 57434480 is about 7578.5539517773. The cubic root of 57434480 is about 385.8254734651.

The spelling of 57434480 in words is "fifty-seven million, four hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 5080 5653 10160 11306 22612 28265 45224 56530 90448 113060 226120 452240 717931 1435862 2871724 3589655 5743448 7179310 11486896 14358620 28717240 57434480