Search a number
-
+
432421132 = 2211131933917
BaseRepresentation
bin11001110001100…
…011100100001100
31010010200021021111
4121301203210030
51341144434012
6110524141404
713500343003
oct3161434414
91103607244
10432421132
112020aa440
12100997864
136b7835c0
1441603c3a
1527e69ba7
hex19c6390c

432421132 has 48 divisors (see below), whose sum is σ = 893868192. Its totient is φ = 180449280.

The previous prime is 432421111. The next prime is 432421141. The reversal of 432421132 is 231124234.

It is a super-2 number, since 2×4324211322 = 373976070800322848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 108438 + ... + 112354.

It is an arithmetic number, because the mean of its divisors is an integer number (18622254).

Almost surely, 2432421132 is an apocalyptic number.

It is an amenable number.

432421132 is an abundant number, since it is smaller than the sum of its proper divisors (461447060).

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

432421132 is a wasteful number, since it uses less digits than its factorization.

432421132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4138 (or 4136 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 432421132 is about 20794.7380844290. The cubic root of 432421132 is about 756.1981950990.

Adding to 432421132 its reverse (231124234), we get a palindrome (663545366).

The spelling of 432421132 in words is "four hundred thirty-two million, four hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 11 13 22 26 44 52 143 193 286 386 572 772 2123 2509 3917 4246 5018 7834 8492 10036 15668 27599 43087 50921 55198 86174 101842 110396 172348 203684 560131 755981 1120262 1511962 2240524 3023924 8315791 9827753 16631582 19655506 33263164 39311012 108105283 216210566 432421132