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42292608 = 273241457
BaseRepresentation
bin1010000101010…
…1010110000000
32221120200112220
42201111112000
541311330413
64110251040
71022324031
oct241252600
987520486
1042292608
1121967076
12121b6a80
1389ba217
14588ca88
153aa6223
hex2855580

42292608 has 64 divisors (see below), whose sum is σ = 113052720. Its totient is φ = 14008320.

The previous prime is 42292589. The next prime is 42292631. The reversal of 42292608 is 80629224.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92316 + ... + 92772.

Almost surely, 242292608 is an apocalyptic number.

42292608 is a gapful number since it is divisible by the number (48) 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 42292608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56526360).

42292608 is an abundant number, since it is smaller than the sum of its proper divisors (70760112).

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

42292608 is a wasteful number, since it uses less digits than its factorization.

42292608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 42292608 is about 6503.2767125504. The cubic root of 42292608 is about 348.4080297878.

The spelling of 42292608 in words is "forty-two million, two hundred ninety-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 241 384 457 482 723 914 964 1371 1446 1828 1928 2742 2892 3656 3856 5484 5784 7312 7712 10968 11568 14624 15424 21936 23136 29248 30848 43872 46272 58496 87744 92544 110137 175488 220274 330411 440548 660822 881096 1321644 1762192 2643288 3524384 5286576 7048768 10573152 14097536 21146304 42292608