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42358608 = 2432294157
BaseRepresentation
bin1010000110010…
…1011101010000
32221201001002100
42201211131100
541320433413
64111520400
71023020325
oct241453520
987631070
1042358608
1121a01716
1212229100
138a11286
1458a8b4c
153abaa73
hex2865750

42358608 has 30 divisors (see below), whose sum is σ = 118545674. Its totient is φ = 14119488.

The previous prime is 42358597. The next prime is 42358633. The reversal of 42358608 is 80685324.

42358608 is a `hidden beast` number, since 42 + 3 + 5 + 8 + 608 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21455424 + 20903184 = 4632^2 + 4572^2 .

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

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 146935 + ... + 147222.

Almost surely, 242358608 is an apocalyptic number.

42358608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42358608 is an abundant number, since it is smaller than the sum of its proper divisors (76187066).

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

42358608 is a wasteful number, since it uses less digits than its factorization.

42358608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294171 (or 294162 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 42358608 is about 6508.3490994261. The cubic root of 42358608 is about 348.5891723861.

The spelling of 42358608 in words is "forty-two million, three hundred fifty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 294157 588314 882471 1176628 1764942 2353256 2647413 3529884 4706512 5294826 7059768 10589652 14119536 21179304 42358608