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57469104 = 24327117173
BaseRepresentation
bin1101101100111…
…0100010110000
311000010201210100
43123032202300
5104203002404
65411432400
71265323260
oct333164260
9130121710
1057469104
112a492430
12172b5700
13bba1cb4
1478bd7a0
1550a2d39
hex36ce8b0

57469104 has 240 divisors, whose sum is σ = 206129664. Its totient is φ = 14515200.

The previous prime is 57469067. The next prime is 57469123. The reversal of 57469104 is 40196475.

57469104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 787212 + ... + 787284.

Almost surely, 257469104 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 57469104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103064832).

57469104 is an abundant number, since it is smaller than the sum of its proper divisors (148660560).

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

57469104 is a wasteful number, since it uses less digits than its factorization.

57469104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 57469104 is about 7580.8379484065. The cubic root of 57469104 is about 385.9029886770.

The spelling of 57469104 in words is "fifty-seven million, four hundred sixty-nine thousand, one hundred four".