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57608424 = 2332800117
BaseRepresentation
bin1101101111000…
…0100011101000
311000101210220100
43123300203220
5104221432144
65414425400
71266443406
oct333604350
9130353810
1057608424
112a578075
1217362260
13bc20533
147918476
1550ce269
hex36f08e8

57608424 has 24 divisors (see below), whose sum is σ = 156023010. Its totient is φ = 19202784.

The previous prime is 57608423. The next prime is 57608431. The reversal of 57608424 is 42480675.

57608424 is a `hidden beast` number, since 5 + 7 + 608 + 42 + 4 = 666.

57608424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 57608100 + 324 = 7590^2 + 18^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (57608423) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 399987 + ... + 400130.

Almost surely, 257608424 is an apocalyptic number.

It is an amenable number.

57608424 is an abundant number, since it is smaller than the sum of its proper divisors (98414586).

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

57608424 is a wasteful number, since it uses less digits than its factorization.

57608424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800129 (or 800122 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 57608424 is about 7590.0213438435. The cubic root of 57608424 is about 386.2145799675.

The spelling of 57608424 in words is "fifty-seven million, six hundred eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 800117 1600234 2400351 3200468 4800702 6400936 7201053 9601404 14402106 19202808 28804212 57608424