Search a number
-
+
801932838 = 237591092969
BaseRepresentation
bin101111110011001…
…000011000100110
32001212222102001020
4233303020120212
53120243322323
6211324112010
725605213420
oct5763103046
92055872036
10801932838
11381741013
121a4695606
13ca1ab895
147870d810
154a609ae3
hex2fcc8626

801932838 has 64 divisors (see below), whose sum is σ = 1881792000. Its totient is φ = 223098624.

The previous prime is 801932827. The next prime is 801932851. The reversal of 801932838 is 838239108.

801932838 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 801932838.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268618 + ... + 271586.

It is an arithmetic number, because the mean of its divisors is an integer number (29403000).

Almost surely, 2801932838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801932838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940896000).

801932838 is an abundant number, since it is smaller than the sum of its proper divisors (1079859162).

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

801932838 is a wasteful number, since it uses less digits than its factorization.

801932838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149.

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 801932838 is about 28318.4187058529. The cubic root of 801932838 is about 929.0647853742.

The spelling of 801932838 in words is "eight hundred one million, nine hundred thirty-two thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 59 109 118 177 218 327 354 413 654 763 826 1239 1526 2289 2478 2969 4578 5938 6431 8907 12862 17814 19293 20783 38586 41566 45017 62349 90034 124698 135051 175171 270102 323621 350342 525513 647242 970863 1051026 1226197 1941726 2265347 2452394 3678591 4530694 6796041 7357182 13592082 19093639 38187278 57280917 114561834 133655473 267310946 400966419 801932838