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42249762 = 234416361
BaseRepresentation
bin1010000100101…
…0111000100010
32221111111210000
42201022320202
541303443022
64105320430
71022055102
oct241127042
987444700
1042249762
1121937965
1212196116
1389a3879
14587b202
153a986ac
hex284ae22

42249762 has 40 divisors (see below), whose sum is σ = 96995052. Its totient is φ = 13737600.

The previous prime is 42249751. The next prime is 42249769. The reversal of 42249762 is 26794224.

It can be written as a sum of positive squares in 2 ways, for example, as 35390601 + 6859161 = 5949^2 + 2619^2 .

It is not an unprimeable number, because it can be changed into a prime (42249769) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3462 + ... + 9822.

Almost surely, 242249762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42249762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48497526).

42249762 is an abundant number, since it is smaller than the sum of its proper divisors (54745290).

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

42249762 is a wasteful number, since it uses less digits than its factorization.

42249762 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6416 (or 6407 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 42249762 is about 6499.9816922819. The cubic root of 42249762 is about 348.2903344027.

The spelling of 42249762 in words is "forty-two million, two hundred forty-nine thousand, seven hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1107 2214 3321 6361 6642 12722 19083 38166 57249 114498 171747 260801 343494 515241 521602 782403 1030482 1564806 2347209 4694418 7041627 14083254 21124881 42249762