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42887232 = 26348273
BaseRepresentation
bin1010001110011…
…0100001000000
32222200220020000
42203212201000
541434342412
64131120000
71030351443
oct243464100
988626200
1042887232
11222328a3
1212443000
138b67a7b
1459a565a
153b724dc
hex28e6840

42887232 has 70 divisors (see below), whose sum is σ = 127146558. Its totient is φ = 14294016.

The previous prime is 42887197. The next prime is 42887263. The reversal of 42887232 is 23278824.

It can be written as a sum of positive squares in only one way, i.e., 40144896 + 2742336 = 6336^2 + 1656^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1048 + ... + 9320.

Almost surely, 242887232 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 42887232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63573279).

42887232 is an abundant number, since it is smaller than the sum of its proper divisors (84259326).

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

42887232 is an equidigital number, since it uses as much as digits as its factorization.

42887232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8297 (or 8278 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 42887232 is about 6548.8344001051. The cubic root of 42887232 is about 350.0332811890.

The spelling of 42887232 in words is "forty-two million, eight hundred eighty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 8273 16546 24819 33092 49638 66184 74457 99276 132368 148914 198552 223371 264736 297828 397104 446742 529472 595656 670113 794208 893484 1191312 1340226 1588416 1786968 2382624 2680452 3573936 4765248 5360904 7147872 10721808 14295744 21443616 42887232