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38625408 = 273233529
BaseRepresentation
bin1001001101011…
…0000010000000
32200200101002200
42103112002000
534342003113
63455513200
7646211343
oct223260200
980611080
1038625408
111a891928
1210b28800
138004c93
1451b645a
1535ce873
hex24d6080

38625408 has 48 divisors (see below), whose sum is σ = 111151950. Its totient is φ = 12874752.

The previous prime is 38625407. The next prime is 38625437. The reversal of 38625408 is 80452683.

It can be written as a sum of positive squares in only one way, i.e., 31270464 + 7354944 = 5592^2 + 2712^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (38625401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15613 + ... + 17916.

Almost surely, 238625408 is an apocalyptic number.

It is an amenable number.

38625408 is an abundant number, since it is smaller than the sum of its proper divisors (72526542).

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

38625408 is a wasteful number, since it uses less digits than its factorization.

38625408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33549 (or 33534 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 38625408 is about 6214.9342715752. The cubic root of 38625408 is about 338.0319053014.

The spelling of 38625408 in words is "thirty-eight million, six hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 33529 67058 100587 134116 201174 268232 301761 402348 536464 603522 804696 1072928 1207044 1609392 2145856 2414088 3218784 4291712 4828176 6437568 9656352 12875136 19312704 38625408