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42046272 = 263272997
BaseRepresentation
bin1010000001100…
…1001101000000
32221010011122100
42200121031000
541230440042
64101110400
71020246612
oct240311500
987104570
1042046272
1121808a94
12120b8400
138932068
145826db2
153a5824c
hex2819340

42046272 has 42 divisors (see below), whose sum is σ = 120519698. Its totient is φ = 14015232.

The previous prime is 42046241. The next prime is 42046289. The reversal of 42046272 is 27264024.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 32901696 + 9144576 = 5736^2 + 3024^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35923 + ... + 37074.

Almost surely, 242046272 is an apocalyptic number.

It is an amenable number.

42046272 is an abundant number, since it is smaller than the sum of its proper divisors (78473426).

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

42046272 is a wasteful number, since it uses less digits than its factorization.

42046272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73015 (or 73002 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 42046272 is about 6484.3096779842. The cubic root of 42046272 is about 347.7302705787.

The spelling of 42046272 in words is "forty-two million, forty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 72997 145994 218991 291988 437982 583976 656973 875964 1167952 1313946 1751928 2335904 2627892 3503856 4671808 5255784 7007712 10511568 14015424 21023136 42046272