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428432312 = 23711292827
BaseRepresentation
bin11001100010010…
…101101110111000
31002212011121122102
4121202111232320
51334134313222
6110302442532
713421420540
oct3142255670
91085147572
10428432312
111aa9255a0
12bb593448
136a9b7b59
1440c86320
152792cd92
hex19895bb8

428432312 has 96 divisors (see below), whose sum is σ = 1038510720. Its totient is φ = 160970880.

The previous prime is 428432281. The next prime is 428432327. The reversal of 428432312 is 213234824.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 517643 + ... + 518469.

It is an arithmetic number, because the mean of its divisors is an integer number (10817820).

Almost surely, 2428432312 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 428432312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519255360).

428432312 is an abundant number, since it is smaller than the sum of its proper divisors (610078408).

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

428432312 is a wasteful number, since it uses less digits than its factorization.

428432312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 876 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

The square root of 428432312 is about 20698.6065231455. The cubic root of 428432312 is about 753.8658538471.

The spelling of 428432312 in words is "four hundred twenty-eight million, four hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 29 44 56 58 77 88 116 154 203 232 308 319 406 616 638 812 827 841 1276 1624 1654 1682 2233 2552 3308 3364 4466 5789 5887 6616 6728 8932 9097 9251 11578 11774 17864 18194 18502 23156 23548 23983 36388 37004 46312 47096 47966 63679 64757 72776 74008 95932 127358 129514 167881 191864 254716 259028 263813 335762 509432 518056 527626 671524 695507 1055252 1343048 1391014 1846691 2110504 2782028 3693382 4868549 5564056 7386764 7650577 9737098 14773528 15301154 19474196 30602308 38948392 53554039 61204616 107108078 214216156 428432312