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38275416 = 23366563
BaseRepresentation
bin1001001000000…
…0100101011000
32200000121000000
42102000211120
534244303131
63444213000
7643223064
oct222004530
980017000
1038275416
111a672983
121099a160
137c1189a
145124aa4
153560ce6
hex2480958

38275416 has 56 divisors (see below), whose sum is σ = 107616780. Its totient is φ = 12756528.

The previous prime is 38275411. The next prime is 38275417. The reversal of 38275416 is 61457283.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38275411) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2551 + ... + 9113.

Almost surely, 238275416 is an apocalyptic number.

38275416 is a gapful number since it is divisible by the number (36) 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 38275416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53808390).

38275416 is an abundant number, since it is smaller than the sum of its proper divisors (69341364).

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

38275416 is an equidigital number, since it uses as much as digits as its factorization.

38275416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6587 (or 6568 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 38275416 is about 6186.7128590230. The cubic root of 38275416 is about 337.0078159188.

The spelling of 38275416 in words is "thirty-eight million, two hundred seventy-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 6563 13126 19689 26252 39378 52504 59067 78756 118134 157512 177201 236268 354402 472536 531603 708804 1063206 1417608 1594809 2126412 3189618 4252824 4784427 6379236 9568854 12758472 19137708 38275416