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42184872 = 23321015801
BaseRepresentation
bin1010000011101…
…1000010101000
32221101012202200
42200323002220
541244403442
64104100200
71021364652
oct240730250
987335680
1042184872
11218a3134
1212164660
138980182
1458616d2
153a8434c
hex283b0a8

42184872 has 48 divisors (see below), whose sum is σ = 115401780. Its totient is φ = 13920000.

The previous prime is 42184867. The next prime is 42184927. The reversal of 42184872 is 27848124.

It can be written as a sum of positive squares in 2 ways, for example, as 27941796 + 14243076 = 5286^2 + 3774^2 .

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 11 ways as a sum of consecutive naturals, for example, 4372 + ... + 10172.

Almost surely, 242184872 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 42184872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57700890).

42184872 is an abundant number, since it is smaller than the sum of its proper divisors (73216908).

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

42184872 is a wasteful number, since it uses less digits than its factorization.

42184872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5914 (or 5907 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 42184872 is about 6494.9882216983. The cubic root of 42184872 is about 348.1119338698. Note that the first 3 decimals are identical.

The spelling of 42184872 in words is "forty-two million, one hundred eighty-four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 5801 7272 11602 17403 23204 34806 46408 52209 69612 104418 139224 208836 417672 585901 1171802 1757703 2343604 3515406 4687208 5273109 7030812 10546218 14061624 21092436 42184872