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57189888 = 29347197
BaseRepresentation
bin1101101000101…
…0011000000000
310222121112210000
43122022120000
5104120034023
65401440000
71263051240
oct332123000
9128545700
1057189888
112a311678
12171a0000
13bb04b92
147849b20
15504a243
hex368a600

57189888 has 200 divisors, whose sum is σ = 196072272. Its totient is φ = 16257024.

The previous prime is 57189877. The next prime is 57189889. The reversal of 57189888 is 88898175.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57189889) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 290206 + ... + 290402.

Almost surely, 257189888 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 57189888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98036136).

57189888 is an abundant number, since it is smaller than the sum of its proper divisors (138882384).

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

57189888 is an equidigital number, since it uses as much as digits as its factorization.

57189888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 209 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 54.

The square root of 57189888 is about 7562.3996191685. The cubic root of 57189888 is about 385.2769986117.

The spelling of 57189888 in words is "fifty-seven million, one hundred eighty-nine thousand, eight hundred eighty-eight".