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37630661 = 294131649
BaseRepresentation
bin1000111110001…
…1001011000101
32121210211120012
42033203023011
534113140121
63422320005
7634566245
oct217431305
977724505
1037630661
111a272522
1210729005
137a47283
144dd7b25
153484c5b
hex23e32c5

37630661 has 8 divisors (see below), whose sum is σ = 39879000. Its totient is φ = 35445760.

The previous prime is 37630657. The next prime is 37630687. The reversal of 37630661 is 16603673.

It is a happy number.

37630661 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 4 ways, for example, as 4060225 + 33570436 = 2015^2 + 5794^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 37630661 - 22 = 37630657 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37630601) 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, 14636 + ... + 17013.

It is an arithmetic number, because the mean of its divisors is an integer number (4984875).

Almost surely, 237630661 is an apocalyptic number.

It is an amenable number.

37630661 is a deficient number, since it is larger than the sum of its proper divisors (2248339).

37630661 is a wasteful number, since it uses less digits than its factorization.

37630661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31719.

The product of its (nonzero) digits is 13608, while the sum is 32.

The square root of 37630661 is about 6134.3835061072. The cubic root of 37630661 is about 335.1047745341.

The spelling of 37630661 in words is "thirty-seven million, six hundred thirty thousand, six hundred sixty-one".

Divisors: 1 29 41 1189 31649 917821 1297609 37630661