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422691264 = 26331714389
BaseRepresentation
bin11001001100011…
…100000111000000
31002110100221102000
4121030130013000
51331202110024
6105535424000
713321550022
oct3114340700
91073327360
10422691264
111a7664226
12b9685000
1369757998
14401d0012
1527196cc9
hex1931c1c0

422691264 has 112 divisors (see below), whose sum is σ = 1315821600. Its totient is φ = 132599808.

The previous prime is 422691259. The next prime is 422691307. The reversal of 422691264 is 462196224.

It is a super-3 number, since 3×4226912643 (a number of 27 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22182 + ... + 36570.

Almost surely, 2422691264 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 422691264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657910800).

422691264 is an abundant number, since it is smaller than the sum of its proper divisors (893130336).

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

422691264 is a wasteful number, since it uses less digits than its factorization.

422691264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14427 (or 14411 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 422691264 is about 20559.4568021628. The cubic root of 422691264 is about 750.4834003652.

The spelling of 422691264 in words is "four hundred twenty-two million, six hundred ninety-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1088 1224 1632 1728 1836 2448 3264 3672 4896 7344 9792 14389 14688 28778 29376 43167 57556 86334 115112 129501 172668 230224 244613 259002 345336 388503 460448 489226 518004 690672 733839 777006 920896 978452 1036008 1381344 1467678 1554012 1956904 2072016 2201517 2762688 2935356 3108024 3913808 4144032 4403034 5870712 6216048 6604551 7827616 8288064 8806068 11741424 12432096 13209102 15655232 17612136 23482848 24864192 26418204 35224272 46965696 52836408 70448544 105672816 140897088 211345632 422691264