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42022968 = 233133672
BaseRepresentation
bin1010000001001…
…1100000111000
32221001222200020
42200103200320
541224213333
64100410440
71020121641
oct240234070
987058606
1042022968
11217a2529
12120a6a20
138924580
14581c6c8
153a513b3
hex2813838

42022968 has 48 divisors (see below), whose sum is σ = 113447880. Its totient is φ = 12894912.

The previous prime is 42022933. The next prime is 42022973. The reversal of 42022968 is 86922024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114321 + ... + 114687.

Almost surely, 242022968 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 42022968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56723940).

42022968 is an abundant number, since it is smaller than the sum of its proper divisors (71424912).

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

42022968 is a wasteful number, since it uses less digits than its factorization.

42022968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 385 counting only the distinct ones).

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

The square root of 42022968 is about 6482.5124758846. The cubic root of 42022968 is about 347.6660159420. Note that the first 3 decimals are identical.

The spelling of 42022968 in words is "forty-two million, twenty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 367 734 1101 1468 2202 2936 4404 4771 8808 9542 14313 19084 28626 38168 57252 114504 134689 269378 404067 538756 808134 1077512 1616268 1750957 3232536 3501914 5252871 7003828 10505742 14007656 21011484 42022968