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37428641 is a prime number
BaseRepresentation
bin1000111011000…
…1110110100001
32121102120102222
42032301312201
534040204031
63414120425
7633065255
oct216616641
977376388
1037428641
111a144768
1210650115
1379a6333
144d84265
153444e7b
hex23b1da1

37428641 has 2 divisors, whose sum is σ = 37428642. Its totient is φ = 37428640.

The previous prime is 37428617. The next prime is 37428661. The reversal of 37428641 is 14682473.

37428641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36048016 + 1380625 = 6004^2 + 1175^2 .

It is a cyclic number.

It is not a de Polignac number, because 37428641 - 218 = 37166497 is a prime.

It is not a weakly prime, because it can be changed into another prime (37428661) 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 as a sum of consecutive naturals, namely, 18714320 + 18714321.

It is an arithmetic number, because the mean of its divisors is an integer number (18714321).

Almost surely, 237428641 is an apocalyptic number.

It is an amenable number.

37428641 is a deficient number, since it is larger than the sum of its proper divisors (1).

37428641 is an equidigital number, since it uses as much as digits as its factorization.

37428641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 32256, while the sum is 35.

The square root of 37428641 is about 6117.8951445738. The cubic root of 37428641 is about 334.5040288250.

The spelling of 37428641 in words is "thirty-seven million, four hundred twenty-eight thousand, six hundred forty-one".