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37720625 = 5460353
BaseRepresentation
bin1000111111100…
…1001000110001
32121222101222012
42033321020301
534124030000
63424252305
7635422445
oct217711061
977871865
1037720625
111a324078
1210771095
137a791c7
14501c825
1534a1735
hex23f9231

37720625 has 10 divisors (see below), whose sum is σ = 47136474. Its totient is φ = 30176000.

The previous prime is 37720591. The next prime is 37720679. The reversal of 37720625 is 52602773.

It is a happy number.

37720625 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 5 ways, for example, as 24990001 + 12730624 = 4999^2 + 3568^2 .

It is not a de Polignac number, because 37720625 - 210 = 37719601 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 37720591 and 37720600.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 29552 + ... + 30801.

Almost surely, 237720625 is an apocalyptic number.

It is an amenable number.

37720625 is a deficient number, since it is larger than the sum of its proper divisors (9415849).

37720625 is an frugal number, since it uses more digits than its factorization.

37720625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60373 (or 60358 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 37720625 is about 6141.7118949036. The cubic root of 37720625 is about 335.3716081254.

The spelling of 37720625 in words is "thirty-seven million, seven hundred twenty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 60353 301765 1508825 7544125 37720625