Search a number
432681601 = 112312612
BaseRepresentation
bin11001110010100…
…011001010000001
31010011011111120111
4121302203022001
51341231302401
6110533511321
713502506252
oct3162431201
91104144514
10432681601
11202268100
12100aa2541
136b845021
1441670b29
1527ebbe51
hex19ca3281

432681601 has 27 divisors (see below), whose sum is σ = 499617027. Its totient is φ = 374418000.

The previous prime is 432681583. The next prime is 432681647. The reversal of 432681601 is 106186234.

It is a happy number.

The square root of 432681601 is 20801.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14070001 + 418611600 = 3751^2 + 20460^2 .

It is not a de Polignac number, because 432681601 - 29 = 432681089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (432681701) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7093111 + ... + 7093171.

Almost surely, 2432681601 is an apocalyptic number.

432681601 is the 20801-st square number.

432681601 is the 10401-st centered octagonal number.

It is an amenable number.

432681601 is a deficient number, since it is larger than the sum of its proper divisors (66935426).

432681601 is an equidigital number, since it uses as much as digits as its factorization.

432681601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The cubic root of 432681601 is about 756.3499966945.

The spelling of 432681601 in words is "four hundred thirty-two million, six hundred eighty-one thousand, six hundred one".