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38986816 = 261179701
BaseRepresentation
bin1001010010111…
…0010001000000
32201100201212011
42110232101000
534440034231
63511342304
7652245121
oct224562100
981321764
1038986816
1120009410
1211081994
13810062b
14526c048
1536519b1
hex252e440

38986816 has 56 divisors (see below), whose sum is σ = 85587840. Its totient is φ = 17472000.

The previous prime is 38986813. The next prime is 38986819. The reversal of 38986816 is 61868983.

It is an interprime number because it is at equal distance from previous prime (38986813) and next prime (38986819).

It is a self number, because there is not a number n which added to its sum of digits gives 38986816.

It is not an unprimeable number, because it can be changed into a prime (38986813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55266 + ... + 55966.

Almost surely, 238986816 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 38986816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42793920).

38986816 is an abundant number, since it is smaller than the sum of its proper divisors (46601024).

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

38986816 is a wasteful number, since it uses less digits than its factorization.

38986816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 793 counting only the distinct ones).

The product of its digits is 497664, while the sum is 49.

The square root of 38986816 is about 6243.9423443847. The cubic root of 38986816 is about 339.0829265487.

The spelling of 38986816 in words is "thirty-eight million, nine hundred eighty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 79 88 158 176 316 352 632 701 704 869 1264 1402 1738 2528 2804 3476 5056 5608 6952 7711 11216 13904 15422 22432 27808 30844 44864 55379 55616 61688 110758 123376 221516 246752 443032 493504 609169 886064 1218338 1772128 2436676 3544256 4873352 9746704 19493408 38986816