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428764446 = 2321117259127
BaseRepresentation
bin11001100011100…
…110110100011110
31002212210111020200
4121203212310132
51334230430241
6110313524330
713424303055
oct3143466436
91085714220
10428764446
11200032090
12bb7136a6
136aaa3096
1440d3139c
15279964b6
hex198e6d1e

428764446 has 144 divisors (see below), whose sum is σ = 1103431680. Its totient is φ = 119266560.

The previous prime is 428764439. The next prime is 428764447. The reversal of 428764446 is 644467824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428764447) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3376035 + ... + 3376161.

It is an arithmetic number, because the mean of its divisors is an integer number (7662720).

Almost surely, 2428764446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428764446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551715840).

428764446 is an abundant number, since it is smaller than the sum of its proper divisors (674667234).

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

428764446 is a wasteful number, since it uses less digits than its factorization.

428764446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 219 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The square root of 428764446 is about 20706.6280692922. The cubic root of 428764446 is about 754.0606102497.

The spelling of 428764446 in words is "four hundred twenty-eight million, seven hundred sixty-four thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 59 66 99 102 118 127 153 177 187 198 254 289 306 354 374 381 531 561 578 649 762 867 1003 1062 1122 1143 1298 1397 1683 1734 1947 2006 2159 2286 2601 2794 3009 3179 3366 3894 4191 4318 5202 5841 6018 6358 6477 7493 8382 9027 9537 11033 11682 12573 12954 14986 17051 18054 19074 19431 22066 22479 23749 25146 28611 33099 34102 36703 38862 44958 47498 51153 57222 66198 67437 71247 73406 82423 99297 102306 110109 127381 134874 142494 153459 164846 187561 198594 213741 220218 247269 254762 306918 330327 375122 382143 403733 427482 494538 562683 660654 741807 764286 807466 1125366 1146429 1211199 1401191 1483614 1688049 2165477 2292858 2422398 2802382 3376098 3633597 4203573 4330954 6496431 7267194 8407146 12610719 12992862 19489293 23820247 25221438 38978586 47640494 71460741 142921482 214382223 428764446