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38106816 = 2631118043
BaseRepresentation
bin1001000101011…
…1011011000000
32122201000201120
42101113123000
534223404231
63440432240
7641621406
oct221273300
978630646
1038106816
111a568240
1210918680
137b82c17
1450bd476
15352ad96
hex24576c0

38106816 has 56 divisors (see below), whose sum is σ = 109996224. Its totient is φ = 11546880.

The previous prime is 38106787. The next prime is 38106821. The reversal of 38106816 is 61860183.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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, 6910 + ... + 11133.

Almost surely, 238106816 is an apocalyptic number.

It is an amenable number.

38106816 is an abundant number, since it is smaller than the sum of its proper divisors (71889408).

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

38106816 is a wasteful number, since it uses less digits than its factorization.

38106816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18069 (or 18059 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 38106816 is about 6173.0718447139. The cubic root of 38106816 is about 336.5122571774.

Adding to 38106816 its reverse (61860183), we get a palindrome (99966999).

The spelling of 38106816 in words is "thirty-eight million, one hundred six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 18043 36086 54129 72172 108258 144344 198473 216516 288688 396946 433032 577376 595419 793892 866064 1154752 1190838 1587784 1732128 2381676 3175568 3464256 4763352 6351136 9526704 12702272 19053408 38106816