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38663625 = 35371113103
BaseRepresentation
bin1001001101111…
…1010111001001
32200202022112010
42103133113021
534344214000
63500410133
7646430640
oct223372711
980668463
1038663625
111a908610
1210b46949
1380194b0
1451c6357
1535dad50
hex24df5c9

38663625 has 128 divisors (see below), whose sum is σ = 87220224. Its totient is φ = 14688000.

The previous prime is 38663617. The next prime is 38663663. The reversal of 38663625 is 52636683.

It is a happy number.

It is not a de Polignac number, because 38663625 - 23 = 38663617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 375324 + ... + 375426.

It is an arithmetic number, because the mean of its divisors is an integer number (681408).

Almost surely, 238663625 is an apocalyptic number.

38663625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38663625 is an abundant number, since it is smaller than the sum of its proper divisors (48556599).

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

38663625 is a wasteful number, since it uses less digits than its factorization.

38663625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 38663625 is about 6218.0081215772. The cubic root of 38663625 is about 338.1433544543.

The spelling of 38663625 in words is "thirty-eight million, six hundred sixty-three thousand, six hundred twenty-five".

Divisors: 1 3 5 7 11 13 15 21 25 33 35 39 55 65 75 77 91 103 105 125 143 165 175 195 231 273 275 309 325 375 385 429 455 515 525 715 721 825 875 975 1001 1133 1155 1339 1365 1375 1545 1625 1925 2145 2163 2275 2575 2625 3003 3399 3575 3605 4017 4125 4875 5005 5665 5775 6695 6825 7725 7931 9373 9625 10725 10815 11375 12875 14729 15015 16995 17875 18025 20085 23793 25025 28119 28325 28875 33475 34125 38625 39655 44187 46865 53625 54075 73645 75075 84975 90125 100425 103103 118965 125125 140595 141625 167375 198275 220935 234325 270375 309309 368225 375375 424875 502125 515515 594825 702975 991375 1104675 1171625 1546545 1841125 2577575 2974125 3514875 5523375 7732725 12887875 38663625