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38709252 = 2234373229
BaseRepresentation
bin1001001110101…
…0100000000100
32200211122010000
42103222200010
534402144002
63501401300
7650010651
oct223524004
980748100
1038709252
111a93991a
1210b69230
1380341aa
1451d8c28
1535e961c
hex24ea804

38709252 has 60 divisors (see below), whose sum is σ = 103960780. Its totient is φ = 12550464.

The previous prime is 38709233. The next prime is 38709259. The reversal of 38709252 is 25290783.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 24147396 + 14561856 = 4914^2 + 3816^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (38709259) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10374 + ... + 13602.

Almost surely, 238709252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38709252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51980390).

38709252 is an abundant number, since it is smaller than the sum of its proper divisors (65251528).

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

38709252 is a wasteful number, since it uses less digits than its factorization.

38709252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 38709252 is about 6221.6759799912. The cubic root of 38709252 is about 338.2763166529.

The spelling of 38709252 in words is "thirty-eight million, seven hundred nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3229 3996 5994 6458 9687 11988 12916 19374 29061 38748 58122 87183 116244 119473 174366 238946 261549 348732 358419 477892 523098 716838 1046196 1075257 1433676 2150514 3225771 4301028 6451542 9677313 12903084 19354626 38709252