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428558304 = 25317262597
BaseRepresentation
bin11001100010110…
…100011111100000
31002212102000110210
4121202310133200
51334202331204
6110305254120
713422454056
oct3142643740
91085360423
10428558304
111aaa01219
12bb634340
136aa302c5
1440cba1d6
1527955389
hex198b47e0

428558304 has 48 divisors (see below), whose sum is σ = 1191144528. Its totient is φ = 134449152.

The previous prime is 428558303. The next prime is 428558327. The reversal of 428558304 is 403855824.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428558303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129667 + ... + 132930.

It is an arithmetic number, because the mean of its divisors is an integer number (24815511).

Almost surely, 2428558304 is an apocalyptic number.

It is an amenable number.

428558304 is an abundant number, since it is smaller than the sum of its proper divisors (762586224).

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

428558304 is a wasteful number, since it uses less digits than its factorization.

428558304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262627 (or 262619 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The square root of 428558304 is about 20701.6497893284. The cubic root of 428558304 is about 753.9397447551.

The spelling of 428558304 in words is "four hundred twenty-eight million, five hundred fifty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 262597 525194 787791 1050388 1575582 2100776 3151164 4201552 4464149 6302328 8403104 8928298 12604656 13392447 17856596 25209312 26784894 35713192 53569788 71426384 107139576 142852768 214279152 428558304