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422502432 = 25311537549
BaseRepresentation
bin11001001011101…
…110000000100000
31002110000100101020
4121023232000200
51331130034212
6105531405440
713320132342
oct3113560040
91073010336
10422502432
111a7545370
12b95b3880
13696bca51
1440181292
152715ad8c
hex192ee020

422502432 has 96 divisors (see below), whose sum is σ = 1232884800. Its totient is φ = 125598720.

The previous prime is 422502347. The next prime is 422502439. The reversal of 422502432 is 234205224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (422502439) by changing a digit.

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, 52194 + ... + 59742.

It is an arithmetic number, because the mean of its divisors is an integer number (12842550).

Almost surely, 2422502432 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 422502432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616442400).

422502432 is an abundant number, since it is smaller than the sum of its proper divisors (810382368).

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

422502432 is a wasteful number, since it uses less digits than its factorization.

422502432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7626 (or 7618 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 422502432 is about 20554.8639499268. The cubic root of 422502432 is about 750.3716273826.

Adding to 422502432 its reverse (234205224), we get a palindrome (656707656).

The spelling of 422502432 in words is "four hundred twenty-two million, five hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 66 88 96 106 132 159 176 212 264 318 352 424 528 583 636 848 1056 1166 1272 1696 1749 2332 2544 3498 4664 5088 6996 7549 9328 13992 15098 18656 22647 27984 30196 45294 55968 60392 83039 90588 120784 166078 181176 241568 249117 332156 362352 400097 498234 664312 724704 800194 996468 1200291 1328624 1600388 1992936 2400582 2657248 3200776 3985872 4401067 4801164 6401552 7971744 8802134 9602328 12803104 13203201 17604268 19204656 26406402 35208536 38409312 52812804 70417072 105625608 140834144 211251216 422502432