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37242112 = 28145477
BaseRepresentation
bin1000111000010…
…0010100000000
32121002002120111
42032010110000
534013221422
63410121104
7631360405
oct216042400
977062514
1037242112
111a027606
1210580194
13793c46b
144d362ac
153409a77
hex2384500

37242112 has 18 divisors (see below), whose sum is σ = 74339258. Its totient is φ = 18620928.

The previous prime is 37242097. The next prime is 37242113. The reversal of 37242112 is 21124273.

It can be written as a sum of positive squares in only one way, i.e., 26378496 + 10863616 = 5136^2 + 3296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37242113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72483 + ... + 72994.

Almost surely, 237242112 is an apocalyptic number.

37242112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

37242112 is a deficient number, since it is larger than the sum of its proper divisors (37097146).

37242112 is an equidigital number, since it uses as much as digits as its factorization.

37242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145493 (or 145479 counting only the distinct ones).

The product of its digits is 672, while the sum is 22.

The square root of 37242112 is about 6102.6315635142. The cubic root of 37242112 is about 333.9474261973.

Adding to 37242112 its reverse (21124273), we get a palindrome (58366385).

The spelling of 37242112 in words is "thirty-seven million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 145477 290954 581908 1163816 2327632 4655264 9310528 18621056 37242112