Search a number
-
+
401832972 = 223211398779
BaseRepresentation
bin10111111100110…
…111110000001100
31001000010020012200
4113330313300030
51310332123342
6103512401500
712646344462
oct2774676014
91030106180
10401832972
11196908072
12b26a6290
13653339b8
143b520832
152542694c
hex17f37c0c

401832972 has 36 divisors (see below), whose sum is σ = 1024743720. Its totient is φ = 132757632.

The previous prime is 401832971. The next prime is 401832989. The reversal of 401832972 is 279238104.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4018329722 = 322939474772705568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (401832971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45322 + ... + 53457.

Almost surely, 2401832972 is an apocalyptic number.

It is an amenable number.

401832972 is an abundant number, since it is smaller than the sum of its proper divisors (622910748).

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

401832972 is a wasteful number, since it uses less digits than its factorization.

401832972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98902 (or 98897 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 401832972 is about 20045.7719232760. The cubic root of 401832972 is about 737.9300394165.

The spelling of 401832972 in words is "four hundred one million, eight hundred thirty-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 4068 98779 197558 296337 395116 592674 889011 1185348 1778022 3556044 11162027 22324054 33486081 44648108 66972162 100458243 133944324 200916486 401832972