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38080008 = 23321673167
BaseRepresentation
bin1001000101000…
…0111000001000
32122122122221200
42101100320020
534222030013
63440104200
7641450301
oct221207010
978578850
1038080008
111a54a08a
1210905060
137b73965
1450b37a8
153522e73
hex2450e08

38080008 has 48 divisors (see below), whose sum is σ = 103783680. Its totient is φ = 12613344.

The previous prime is 38080001. The next prime is 38080013. The reversal of 38080008 is 80008083.

It is not an unprimeable number, because it can be changed into a prime (38080001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10441 + ... + 13607.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160).

Almost surely, 238080008 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 38080008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51891840).

38080008 is an abundant number, since it is smaller than the sum of its proper divisors (65703672).

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

38080008 is a wasteful number, since it uses less digits than its factorization.

38080008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3346 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 38080008 is about 6170.9000964203. The cubic root of 38080008 is about 336.4333269682.

The spelling of 38080008 in words is "thirty-eight million, eighty thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 167 334 501 668 1002 1336 1503 2004 3006 3167 4008 6012 6334 9501 12024 12668 19002 25336 28503 38004 57006 76008 114012 228024 528889 1057778 1586667 2115556 3173334 4231112 4760001 6346668 9520002 12693336 19040004 38080008