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428744256 = 2636733329
BaseRepresentation
bin11001100011100…
…001111001000000
31002212202110112220
4121203201321000
51334224304011
6110313251040
713424160153
oct3143417100
91085673486
10428744256
112000189a6
12bb703a80
136aa96b35
1440d27c9a
1527990506
hex198e1e40

428744256 has 56 divisors (see below), whose sum is σ = 1151351520. Its totient is φ = 140777472.

The previous prime is 428744237. The next prime is 428744273. The reversal of 428744256 is 652447824.

It is a happy 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, 3801 + ... + 29528.

Almost surely, 2428744256 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 428744256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575675760).

428744256 is an abundant number, since it is smaller than the sum of its proper divisors (722607264).

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

428744256 is a wasteful number, since it uses less digits than its factorization.

428744256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33411 (or 33401 counting only the distinct ones).

The product of its digits is 430080, while the sum is 42.

The square root of 428744256 is about 20706.1405384973. The cubic root of 428744256 is about 754.0487741294.

The spelling of 428744256 in words is "four hundred twenty-eight million, seven hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 201 268 402 536 804 1072 1608 2144 3216 4288 6432 12864 33329 66658 99987 133316 199974 266632 399948 533264 799896 1066528 1599792 2133056 2233043 3199584 4466086 6399168 6699129 8932172 13398258 17864344 26796516 35728688 53593032 71457376 107186064 142914752 214372128 428744256