Search a number
-
+
38768520 = 2335746153
BaseRepresentation
bin1001001111100…
…0111110001000
32200221122102010
42103320332020
534411043040
63502535520
7650345520
oct223707610
980848363
1038768520
111a97a3aa
1210b975a0
13805516b
145212680
15360be80
hex24f8f88

38768520 has 64 divisors (see below), whose sum is σ = 132923520. Its totient is φ = 8861184.

The previous prime is 38768519. The next prime is 38768557. The reversal of 38768520 is 2586783.

38768520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 22237 + ... + 23916.

It is an arithmetic number, because the mean of its divisors is an integer number (2076930).

Almost surely, 238768520 is an apocalyptic number.

38768520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38768520 is an abundant number, since it is smaller than the sum of its proper divisors (94155000).

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

38768520 is a wasteful number, since it uses less digits than its factorization.

38768520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46174 (or 46170 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 38768520 is about 6226.4371834943. The cubic root of 38768520 is about 338.4488743407.

The spelling of 38768520 in words is "thirty-eight million, seven hundred sixty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 46153 92306 138459 184612 230765 276918 323071 369224 461530 553836 646142 692295 923060 969213 1107672 1292284 1384590 1615355 1846120 1938426 2584568 2769180 3230710 3876852 4846065 5538360 6461420 7753704 9692130 12922840 19384260 38768520