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428441076 = 2235762969
BaseRepresentation
bin11001100010010…
…111110111110100
31002212012001200000
4121202113313310
51334140103301
6110302551300
713421455230
oct3142276764
91085161600
10428441076
111aa931138
12bb598530
136a9bbb3b
1440c895c0
1527930786
hex19897df4

428441076 has 72 divisors (see below), whose sum is σ = 1283580480. Its totient is φ = 122409792.

The previous prime is 428441063. The next prime is 428441107. The reversal of 428441076 is 670144824.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 428441076.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24681 + ... + 38288.

Almost surely, 2428441076 is an apocalyptic number.

It is an amenable number.

428441076 is an abundant number, since it is smaller than the sum of its proper divisors (855139404).

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

428441076 is a wasteful number, since it uses less digits than its factorization.

428441076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62995 (or 62981 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 428441076 is about 20698.8182271356. The cubic root of 428441076 is about 753.8709941654.

The spelling of 428441076 in words is "four hundred twenty-eight million, four hundred forty-one thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 62969 125938 188907 251876 377814 440783 566721 755628 881566 1133442 1322349 1700163 1763132 2266884 2644698 3400326 3967047 5100489 5289396 6800652 7934094 10200978 11901141 15301467 15868188 20401956 23802282 30602934 35703423 47604564 61205868 71406846 107110269 142813692 214220538 428441076