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42059008 = 28198647
BaseRepresentation
bin1010000001110…
…0010100000000
32221010211010001
42200130110000
541231342013
64101245344
71020332005
oct240342400
987124101
1042059008
1121817612
1212103854
138937ab4
14582b8ac
153a5bddd
hex281c500

42059008 has 36 divisors (see below), whose sum is σ = 88382560. Its totient is φ = 19920384.

The previous prime is 42058987. The next prime is 42059011. The reversal of 42059008 is 80095024.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 541 + ... + 9187.

Almost surely, 242059008 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 42059008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44191280).

42059008 is an abundant number, since it is smaller than the sum of its proper divisors (46323552).

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

42059008 is an equidigital number, since it uses as much as digits as its factorization.

42059008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8682 (or 8668 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 42059008 is about 6485.2916665328. The cubic root of 42059008 is about 347.7653767085.

The spelling of 42059008 in words is "forty-two million, fifty-nine thousand, eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 608 1216 2432 4864 8647 17294 34588 69176 138352 164293 276704 328586 553408 657172 1106816 1314344 2213632 2628688 5257376 10514752 21029504 42059008