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38849008 = 2411307719
BaseRepresentation
bin1001010000110…
…0100111110000
32201002201211011
42110030213300
534421132013
63504400304
7651132262
oct224144760
981081734
1038849008
111aa24920
1211016094
1380829a3
145233b32
153625c3d
hex250c9f0

38849008 has 40 divisors (see below), whose sum is σ = 82494720. Its totient is φ = 17576640.

The previous prime is 38848969. The next prime is 38849011. The reversal of 38849008 is 80094883.

It is a congruent number.

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, 53673 + ... + 54391.

It is an arithmetic number, because the mean of its divisors is an integer number (2062368).

Almost surely, 238849008 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 38849008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41247360).

38849008 is an abundant number, since it is smaller than the sum of its proper divisors (43645712).

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

38849008 is a wasteful number, since it uses less digits than its factorization.

38849008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 38849008 is about 6232.8972396471. The cubic root of 38849008 is about 338.6829323069.

The spelling of 38849008 in words is "thirty-eight million, eight hundred forty-nine thousand, eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 307 614 719 1228 1438 2456 2876 3377 4912 5752 6754 7909 11504 13508 15818 27016 31636 54032 63272 126544 220733 441466 882932 1765864 2428063 3531728 4856126 9712252 19424504 38849008