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422394504 = 23372438353
BaseRepresentation
bin11001001011010…
…011101010001000
31002102210212022220
4121023103222020
51331113111004
6105525214040
713316202600
oct3113235210
91072725286
10422394504
111a7481274
12b9561320
136968289c
1440153c00
1527138dd9
hex192d3a88

422394504 has 96 divisors (see below), whose sum is σ = 1257109920. Its totient is φ = 117863424.

The previous prime is 422394503. The next prime is 422394509. The reversal of 422394504 is 405493224.

422394504 = 29122 + 29132 + ... + 29602.

It is not an unprimeable number, because it can be changed into a prime (422394503) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 46392 + ... + 54744.

It is an arithmetic number, because the mean of its divisors is an integer number (13094895).

Almost surely, 2422394504 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 422394504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628554960).

422394504 is an abundant number, since it is smaller than the sum of its proper divisors (834715416).

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

422394504 is a wasteful number, since it uses less digits than its factorization.

422394504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8419 (or 8408 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 422394504 is about 20552.2384182356. The cubic root of 422394504 is about 750.3077279430.

The spelling of 422394504 in words is "four hundred twenty-two million, three hundred ninety-four thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 49 56 84 86 98 129 147 168 172 196 258 294 301 344 392 516 588 602 903 1032 1176 1204 1806 2107 2408 3612 4214 6321 7224 8353 8428 12642 16706 16856 25059 25284 33412 50118 50568 58471 66824 100236 116942 175413 200472 233884 350826 359179 409297 467768 701652 718358 818594 1077537 1227891 1403304 1436716 1637188 2155074 2455782 2514253 2873432 3274376 4310148 4911564 5028506 7542759 8620296 9823128 10057012 15085518 17599771 20114024 30171036 35199542 52799313 60342072 70399084 105598626 140798168 211197252 422394504