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428057632 = 2529461269
BaseRepresentation
bin11001100000111…
…010010000100000
31002211110120200101
4121200322100200
51334040321012
6110250432144
713415300302
oct3140722040
91084416611
10428057632
111aa69a042
12bb432654
136a8b6452
1440bc9972
15278a6d57
hex1983a420

428057632 has 24 divisors (see below), whose sum is σ = 871800300. Its totient is φ = 206648064.

The previous prime is 428057611. The next prime is 428057633. The reversal of 428057632 is 236750824.

It can be written as a sum of positive squares in 2 ways, for example, as 411116176 + 16941456 = 20276^2 + 4116^2 .

It is a junction number, because it is equal to n+sod(n) for n = 428057591 and 428057600.

It is not an unprimeable number, because it can be changed into a prime (428057633) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 229707 + ... + 231562.

Almost surely, 2428057632 is an apocalyptic number.

It is an amenable number.

428057632 is an abundant number, since it is smaller than the sum of its proper divisors (443742668).

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

428057632 is a wasteful number, since it uses less digits than its factorization.

428057632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461308 (or 461300 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 428057632 is about 20689.5536926247. The cubic root of 428057632 is about 753.6460285053.

The spelling of 428057632 in words is "four hundred twenty-eight million, fifty-seven thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 461269 922538 1845076 3690152 7380304 13376801 14760608 26753602 53507204 107014408 214028816 428057632