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38987496 = 23321573449
BaseRepresentation
bin1001010010111…
…0011011101000
32201100202210100
42110232123220
534440044441
63511345400
7652250112
oct224563350
981322710
1038987496
1120009979
1211082260
138100a32
14526c3b2
153651cb6
hex252e6e8

38987496 has 48 divisors (see below), whose sum is σ = 106294500. Its totient is φ = 12909312.

The previous prime is 38987441. The next prime is 38987503. The reversal of 38987496 is 69478983.

38987496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 31203396 + 7784100 = 5586^2 + 2790^2 .

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9580 + ... + 13028.

Almost surely, 238987496 is an apocalyptic number.

38987496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38987496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53147250).

38987496 is an abundant number, since it is smaller than the sum of its proper divisors (67307004).

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

38987496 is a wasteful number, since it uses less digits than its factorization.

38987496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 3611 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 38987496 is about 6243.9967969242. The cubic root of 38987496 is about 339.0848979421.

The spelling of 38987496 in words is "thirty-eight million, nine hundred eighty-seven thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 628 942 1256 1413 1884 2826 3449 3768 5652 6898 10347 11304 13796 20694 27592 31041 41388 62082 82776 124164 248328 541493 1082986 1624479 2165972 3248958 4331944 4873437 6497916 9746874 12995832 19493748 38987496