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37138096 = 242980039
BaseRepresentation
bin1000110110101…
…0111010110000
32120212210220001
42031222322300
534001404341
63403555344
7630445222
oct215527260
976783801
1037138096
1119a66446
121052bb54
137904008
144d0a412
1533d8d31
hex236aeb0

37138096 has 20 divisors (see below), whose sum is σ = 74437200. Its totient is φ = 17928512.

The previous prime is 37138091. The next prime is 37138117. The reversal of 37138096 is 69083173.

37138096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37138091) 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 3 ways as a sum of consecutive naturals, for example, 39556 + ... + 40483.

It is an arithmetic number, because the mean of its divisors is an integer number (3721860).

Almost surely, 237138096 is an apocalyptic number.

It is an amenable number.

37138096 is an abundant number, since it is smaller than the sum of its proper divisors (37299104).

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

37138096 is a wasteful number, since it uses less digits than its factorization.

37138096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80076 (or 80070 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 37138096 is about 6094.1033794973. The cubic root of 37138096 is about 333.6362348908.

The spelling of 37138096 in words is "thirty-seven million, one hundred thirty-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 29 58 116 232 464 80039 160078 320156 640312 1280624 2321131 4642262 9284524 18569048 37138096