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428965110 = 232572211461
BaseRepresentation
bin11001100100010…
…111110011110110
31002220011200111200
4121210113303312
51334303340420
6110322113330
713426100100
oct3144276366
91086150450
10428965110
11200159922
12bb7ab846
136ab43512
1440d84570
15279d5b90
hex19917cf6

428965110 has 144 divisors (see below), whose sum is σ = 1306377072. Its totient is φ = 97372800.

The previous prime is 428965057. The next prime is 428965127. The reversal of 428965110 is 11569824.

It is a super-2 number, since 2×4289651102 = 368022131194624200, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 930280 + ... + 930740.

It is an arithmetic number, because the mean of its divisors is an integer number (9072063).

Almost surely, 2428965110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428965110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653188536).

428965110 is an abundant number, since it is smaller than the sum of its proper divisors (877411962).

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

428965110 is a wasteful number, since it uses less digits than its factorization.

428965110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 428965110 is about 20711.4729075457. The cubic root of 428965110 is about 754.1782266711.

The spelling of 428965110 in words is "four hundred twenty-eight million, nine hundred sixty-five thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 211 245 294 315 422 441 461 490 630 633 735 882 922 1055 1266 1383 1470 1477 1899 2110 2205 2305 2766 2954 3165 3227 3798 4149 4410 4431 4610 6330 6454 6915 7385 8298 8862 9495 9681 10339 13293 13830 14770 16135 18990 19362 20678 20745 22155 22589 26586 29043 31017 32270 41490 44310 45178 48405 51695 58086 62034 66465 67767 93051 96810 97271 103390 112945 132930 135534 145215 155085 186102 194542 203301 225890 290430 291813 310170 338835 406602 465255 486355 583626 677670 680897 875439 930510 972710 1016505 1361794 1459065 1750878 2033010 2042691 2918130 3404485 4085382 4377195 4766279 6128073 6808970 8754390 9532558 10213455 12256146 14298837 20426910 23831395 28597674 30640365 42896511 47662790 61280730 71494185 85793022 142988370 214482555 428965110