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428796432 = 24322977753
BaseRepresentation
bin11001100011101…
…110101000010000
31002212212010010100
4121203232220100
51334232441212
6110314332400
713424465241
oct3143565020
91085763110
10428796432
11200054119
12bb72a100
136aab47cc
1440d3ccc8
15279a0bdc
hex198eea10

428796432 has 30 divisors (see below), whose sum is σ = 1200034862. Its totient is φ = 142932096.

The previous prime is 428796419. The next prime is 428796451. The reversal of 428796432 is 234697824.

It can be written as a sum of positive squares in only one way, i.e., 320553216 + 108243216 = 17904^2 + 10404^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 5 ways as a sum of consecutive naturals, for example, 1488733 + ... + 1489020.

Almost surely, 2428796432 is an apocalyptic number.

It is an amenable number.

428796432 is an abundant number, since it is smaller than the sum of its proper divisors (771238430).

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

428796432 is a wasteful number, since it uses less digits than its factorization.

428796432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977767 (or 2977758 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 428796432 is about 20707.4004162763. The cubic root of 428796432 is about 754.0793608583.

The spelling of 428796432 in words is "four hundred twenty-eight million, seven hundred ninety-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2977753 5955506 8933259 11911012 17866518 23822024 26799777 35733036 47644048 53599554 71466072 107199108 142932144 214398216 428796432