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37142052 = 22328310937
BaseRepresentation
bin1000110110101…
…1111000100100
32120220000022120
42031223320210
534002021202
63404025540
7630462603
oct215537044
976800276
1037142052
1119a69412
12105322b0
137905a5c
144d0ba3a
1533da0bc
hex236be24

37142052 has 24 divisors (see below), whose sum is σ = 86978976. Its totient is φ = 12335808.

The previous prime is 37142047. The next prime is 37142057. The reversal of 37142052 is 25024173.

37142052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (37142047) and next prime (37142057).

It is not an unprimeable number, because it can be changed into a prime (37142057) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2073 + ... + 8864.

It is an arithmetic number, because the mean of its divisors is an integer number (3624124).

Almost surely, 237142052 is an apocalyptic number.

It is an amenable number.

37142052 is an abundant number, since it is smaller than the sum of its proper divisors (49836924).

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

37142052 is a wasteful number, since it uses less digits than its factorization.

37142052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11227 (or 11225 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 37142052 is about 6094.4279469036. The cubic root of 37142052 is about 333.6480809305.

The spelling of 37142052 in words is "thirty-seven million, one hundred forty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 12 283 566 849 1132 1698 3396 10937 21874 32811 43748 65622 131244 3095171 6190342 9285513 12380684 18571026 37142052