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428980464 = 243211270821
BaseRepresentation
bin11001100100011…
…011100011110000
31002220012110120100
4121210123203300
51334304333324
6110322312400
713426162623
oct3144334360
91086173510
10428980464
1120016a410
12bb7b8700
136ab4a4c3
1440d89dba
15279da4c9
hex1991b8f0

428980464 has 60 divisors (see below), whose sum is σ = 1309695192. Its totient is φ = 129993600.

The previous prime is 428980457. The next prime is 428980469. The reversal of 428980464 is 464089824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428980469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133827 + ... + 136994.

Almost surely, 2428980464 is an apocalyptic number.

428980464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

428980464 is an abundant number, since it is smaller than the sum of its proper divisors (880714728).

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

428980464 is a wasteful number, since it uses less digits than its factorization.

428980464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270846 (or 270837 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 428980464 is about 20711.8435683548. The cubic root of 428980464 is about 754.1872246946.

The spelling of 428980464 in words is "four hundred twenty-eight million, nine hundred eighty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 270821 541642 812463 1083284 1624926 2166568 2437389 2979031 3249852 4333136 4874778 5958062 6499704 8937093 9749556 11916124 12999408 17874186 19499112 23832248 26811279 35748372 38998224 47664496 53622558 71496744 107245116 142993488 214490232 428980464