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928020402 = 2353121987
BaseRepresentation
bin110111010100000…
…111011110110010
32101200020022200000
4313110013132302
53400033123102
6232030410430
731666020561
oct6724073662
92350208600
10928020402
11436930511
1221a960a16
1311a3575ca
148b371bd8
155671401c
hex375077b2

928020402 has 72 divisors (see below), whose sum is σ = 2155699728. Its totient is φ = 299210760.

The previous prime is 928020383. The next prime is 928020449. The reversal of 928020402 is 204020829.

It is a super-2 number, since 2×9280204022 = 1722443733056483208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 35 ways as a sum of consecutive naturals, for example, 466053 + ... + 468039.

It is an arithmetic number, because the mean of its divisors is an integer number (29940274).

Almost surely, 2928020402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 928020402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077849864).

928020402 is an abundant number, since it is smaller than the sum of its proper divisors (1227679326).

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

928020402 is a wasteful number, since it uses less digits than its factorization.

928020402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 928020402 is about 30463.4272858456. The cubic root of 928020402 is about 975.4069401891.

The spelling of 928020402 in words is "nine hundred twenty-eight million, twenty thousand, four hundred two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 837 961 1674 1922 1987 2511 2883 3974 5022 5766 5961 7533 8649 11922 15066 17298 17883 25947 35766 51894 53649 61597 77841 107298 123194 155682 160947 184791 233523 321894 369582 467046 482841 554373 965682 1108746 1663119 1909507 3326238 3819014 4989357 5728521 9978714 11457042 14968071 17185563 29936142 34371126 51556689 103113378 154670067 309340134 464010201 928020402