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38121525 = 32521313033
BaseRepresentation
bin1001000101101…
…1000000110101
32122201202220100
42101123000311
534224342100
63441024313
7642012321
oct221330065
978652810
1038121525
111a5782a2
1210925099
137b89820
1450c4981
153530400
hex245b035

38121525 has 36 divisors (see below), whose sum is σ = 73537828. Its totient is φ = 18766080.

The previous prime is 38121509. The next prime is 38121527. The reversal of 38121525 is 52512183.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2802276 + 35319249 = 1674^2 + 5943^2 .

It is not a de Polignac number, because 38121525 - 24 = 38121509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38121527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3592 + ... + 9441.

Almost surely, 238121525 is an apocalyptic number.

It is an amenable number.

38121525 is a deficient number, since it is larger than the sum of its proper divisors (35416303).

38121525 is a wasteful number, since it uses less digits than its factorization.

38121525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13062 (or 13054 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 38121525 is about 6174.2631139270. The cubic root of 38121525 is about 336.5555488383. Note that the first 4 decimals are identical.

The spelling of 38121525 in words is "thirty-eight million, one hundred twenty-one thousand, five hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 975 2925 13033 39099 65165 117297 169429 195495 325825 508287 586485 847145 977475 1524861 2541435 2932425 4235725 7624305 12707175 38121525