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57399104 = 267314133
BaseRepresentation
bin1101101011110…
…1011101000000
311000000011202202
43122331131000
5104143232404
65410132332
71264612220
oct332753500
9130004682
1057399104
112a444884
12172810a8
13bb79189
1478a2080
15508c21e
hex36bd740

57399104 has 56 divisors (see below), whose sum is σ = 134404608. Its totient is φ = 23800320.

The previous prime is 57399103. The next prime is 57399107. The reversal of 57399104 is 40199375.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57399103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11822 + ... + 15954.

Almost surely, 257399104 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 57399104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67202304).

57399104 is an abundant number, since it is smaller than the sum of its proper divisors (77005504).

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

57399104 is a wasteful number, since it uses less digits than its factorization.

57399104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4183 (or 4173 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 57399104 is about 7576.2196377877. The cubic root of 57399104 is about 385.7462425153.

The spelling of 57399104 in words is "fifty-seven million, three hundred ninety-nine thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 992 1736 1984 3472 4133 6944 8266 13888 16532 28931 33064 57862 66128 115724 128123 132256 231448 256246 264512 462896 512492 896861 925792 1024984 1793722 1851584 2049968 3587444 4099936 7174888 8199872 14349776 28699552 57399104