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57996288 = 2103272931
BaseRepresentation
bin1101110100111…
…1010000000000
311001010111221200
43131033100000
5104321340123
65431021200
71302650250
oct335172000
9131114850
1057996288
112a812519
121750a800
13c027c3c
1479b9960
155159143
hex374f400

57996288 has 264 divisors, whose sum is σ = 204372480. Its totient is φ = 15482880.

The previous prime is 57996287. The next prime is 57996329. The reversal of 57996288 is 88269975.

It is a happy number.

57996288 is a `hidden beast` number, since 5 + 7 + 9 + 9 + 628 + 8 = 666.

Its product of digits (2177280) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57996283) 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 23 ways as a sum of consecutive naturals, for example, 1870833 + ... + 1870863.

Almost surely, 257996288 is an apocalyptic number.

57996288 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57996288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102186240).

57996288 is an abundant number, since it is smaller than the sum of its proper divisors (146376192).

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

57996288 is a wasteful number, since it uses less digits than its factorization.

57996288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 72 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 57996288 is about 7615.5293972251. The cubic root of 57996288 is about 387.0794060164.

The spelling of 57996288 in words is "fifty-seven million, nine hundred ninety-six thousand, two hundred eighty-eight".