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427264092 = 223367137431
BaseRepresentation
bin11001011101111…
…000100001011100
31002202222021011000
4121131320201130
51333334422332
6110221430300
713405453623
oct3135704134
91082867130
10427264092
111aa1a7922
12bb10b390
136a6991b8
1440a606ba
152779bb7c
hex1977885c

427264092 has 96 divisors (see below), whose sum is σ = 1135088640. Its totient is φ = 138948480.

The previous prime is 427264091. The next prime is 427264099. The reversal of 427264092 is 290462724.

427264092 is a `hidden beast` number, since 4 + 2 + 7 + 2 + 640 + 9 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427264091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 991117 + ... + 991547.

It is an arithmetic number, because the mean of its divisors is an integer number (11823840).

Almost surely, 2427264092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427264092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567544320).

427264092 is an abundant number, since it is smaller than the sum of its proper divisors (707824548).

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

427264092 is a wasteful number, since it uses less digits than its factorization.

427264092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 427264092 is about 20670.3674858479. The cubic root of 427264092 is about 753.1800334594.

The spelling of 427264092 in words is "four hundred twenty-seven million, two hundred sixty-four thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 108 134 137 201 268 274 402 411 431 548 603 804 822 862 1206 1233 1293 1644 1724 1809 2412 2466 2586 3618 3699 3879 4932 5172 7236 7398 7758 9179 11637 14796 15516 18358 23274 27537 28877 36716 46548 55074 57754 59047 82611 86631 110148 115508 118094 165222 173262 177141 236188 247833 259893 330444 346524 354282 495666 519786 531423 708564 779679 991332 1039572 1062846 1559358 1594269 2125692 3118716 3188538 3956149 6377076 7912298 11868447 15824596 23736894 35605341 47473788 71210682 106816023 142421364 213632046 427264092