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38649952 = 2511195779
BaseRepresentation
bin1001001101110…
…0000001100000
32200201121202201
42103130001200
534343244302
63500222544
7646343035
oct223340140
980647681
1038649952
111a8a9310
1210b3aa54
1380131c3
1451c138c
1535d6c87
hex24dc060

38649952 has 48 divisors (see below), whose sum is σ = 87393600. Its totient is φ = 16640640.

The previous prime is 38649943. The next prime is 38649977. The reversal of 38649952 is 25994683.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3799 + ... + 9577.

It is an arithmetic number, because the mean of its divisors is an integer number (1820700).

Almost surely, 238649952 is an apocalyptic number.

38649952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38649952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43696800).

38649952 is an abundant number, since it is smaller than the sum of its proper divisors (48743648).

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

38649952 is a wasteful number, since it uses less digits than its factorization.

38649952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5819 (or 5811 counting only the distinct ones).

The product of its digits is 466560, while the sum is 46.

The square root of 38649952 is about 6216.9085565094. The cubic root of 38649952 is about 338.1034894287.

It can be divided in two parts, 38649 and 952, that added together give a square (39601 = 1992).

The spelling of 38649952 in words is "thirty-eight million, six hundred forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 836 1672 3344 5779 6688 11558 23116 46232 63569 92464 109801 127138 184928 219602 254276 439204 508552 878408 1017104 1207811 1756816 2034208 2415622 3513632 4831244 9662488 19324976 38649952