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428739762 = 2311172111811
BaseRepresentation
bin11001100011100…
…000110010110010
31002212202020101110
4121203200302302
51334224133022
6110313214150
713424141103
oct3143406262
91085666343
10428739762
11200015590
12bb701356
136aa94a89
1440d263aa
152798e00c
hex198e0cb2

428739762 has 64 divisors (see below), whose sum is σ = 995701248. Its totient is φ = 121632000.

The previous prime is 428739721. The next prime is 428739791. The reversal of 428739762 is 267937824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235837 + ... + 237647.

It is an arithmetic number, because the mean of its divisors is an integer number (15557832).

Almost surely, 2428739762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428739762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497850624).

428739762 is an abundant number, since it is smaller than the sum of its proper divisors (566961486).

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

428739762 is a wasteful number, since it uses less digits than its factorization.

428739762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055.

The product of its digits is 1016064, while the sum is 48.

The square root of 428739762 is about 20706.0320196797. The cubic root of 428739762 is about 754.0461395308.

The spelling of 428739762 in words is "four hundred twenty-eight million, seven hundred thirty-nine thousand, seven hundred sixty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 211 374 422 561 633 1122 1266 1811 2321 3587 3622 4642 5433 6963 7174 10761 10866 13926 19921 21522 30787 39457 39842 59763 61574 78914 92361 118371 119526 184722 236742 338657 382121 677314 764242 1015971 1146363 2031942 2292726 4203331 6496057 8406662 12609993 12992114 19488171 25219986 38976342 71456627 142913254 214369881 428739762