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38918016 = 273311261
BaseRepresentation
bin1001010001110…
…1011110000000
32201020020111000
42110131132000
534430334031
63510052000
7651540414
oct224353600
981206430
1038918016
111aa71755
121104a000
1380a8217
145250d44
15363b3e6
hex251d780

38918016 has 64 divisors (see below), whose sum is σ = 114872400. Its totient is φ = 12971520.

The previous prime is 38918003. The next prime is 38918017. The reversal of 38918016 is 61081983.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×389180162 = 3029223938752512, which contains 22 as substring.

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 (38918017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2175 + ... + 9086.

Almost surely, 238918016 is an apocalyptic number.

38918016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38918016 is an abundant number, since it is smaller than the sum of its proper divisors (75954384).

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

38918016 is a wasteful number, since it uses less digits than its factorization.

38918016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11284 (or 11266 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 38918016 is about 6238.4305718666. The cubic root of 38918016 is about 338.8833493237.

Adding to 38918016 its reverse (61081983), we get a palindrome (99999999).

The spelling of 38918016 in words is "thirty-eight million, nine hundred eighteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 11261 22522 33783 45044 67566 90088 101349 135132 180176 202698 270264 304047 360352 405396 540528 608094 720704 810792 1081056 1216188 1441408 1621584 2162112 2432376 3243168 4324224 4864752 6486336 9729504 12972672 19459008 38918016