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37442468 = 2272191033
BaseRepresentation
bin1000111011010…
…1001110100100
32121110021102002
42032311032210
534041124333
63414304432
7633153500
oct216651644
977407362
1037442468
111a154098
1210658118
1379ac70b
144d89300
1534490e8
hex23b53a4

37442468 has 18 divisors (see below), whose sum is σ = 76222566. Its totient is φ = 16046688.

The previous prime is 37442429. The next prime is 37442473. The reversal of 37442468 is 86424473.

37442468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 37429924 + 12544 = 6118^2 + 112^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 95321 + ... + 95712.

It is an arithmetic number, because the mean of its divisors is an integer number (4234587).

Almost surely, 237442468 is an apocalyptic number.

It is an amenable number.

37442468 is an abundant number, since it is smaller than the sum of its proper divisors (38780098).

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

37442468 is a wasteful number, since it uses less digits than its factorization.

37442468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191051 (or 191042 counting only the distinct ones).

The product of its digits is 129024, while the sum is 38.

The square root of 37442468 is about 6119.0250857469. The cubic root of 37442468 is about 334.5452149118.

The spelling of 37442468 in words is "thirty-seven million, four hundred forty-two thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 191033 382066 764132 1337231 2674462 5348924 9360617 18721234 37442468