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428961232 = 24716323497
BaseRepresentation
bin11001100100010…
…110110111010000
31002220011111012001
4121210112313100
51334303224412
6110322043344
713426052560
oct3144266720
91086144161
10428961232
11200156a17
12bb7a9554
136ab4181b
1440d82da0
15279d4957
hex19916dd0

428961232 has 40 divisors (see below), whose sum is σ = 955710656. Its totient is φ = 182704896.

The previous prime is 428961217. The next prime is 428961317. The reversal of 428961232 is 232169824.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 428961191 and 428961200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6508 + ... + 30004.

Almost surely, 2428961232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428961232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477855328).

428961232 is an abundant number, since it is smaller than the sum of its proper divisors (526749424).

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

428961232 is a wasteful number, since it uses less digits than its factorization.

428961232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23675 (or 23669 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 428961232 is about 20711.3792877249. The cubic root of 428961232 is about 754.1759539828.

The spelling of 428961232 in words is "four hundred twenty-eight million, nine hundred sixty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 163 326 652 1141 1304 2282 2608 4564 9128 18256 23497 46994 93988 164479 187976 328958 375952 657916 1315832 2631664 3830011 7660022 15320044 26810077 30640088 53620154 61280176 107240308 214480616 428961232