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422064608 = 25729431511
BaseRepresentation
bin11001001010000…
…011000111100000
31002102012002210112
4121022003013200
51331022031413
6105514150452
713313330030
oct3112030740
91072162715
10422064608
111a7276429
12b9422428
1369598694
14400a98c0
15270c12a8
hex192831e0

422064608 has 96 divisors (see below), whose sum is σ = 1005903360. Its totient is φ = 170472960.

The previous prime is 422064607. The next prime is 422064641. The reversal of 422064608 is 806460224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422064607) 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, 278573 + ... + 280083.

It is an arithmetic number, because the mean of its divisors is an integer number (10478160).

Almost surely, 2422064608 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 422064608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502951680).

422064608 is an abundant number, since it is smaller than the sum of its proper divisors (583838752).

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

422064608 is a wasteful number, since it uses less digits than its factorization.

422064608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 422064608 is about 20544.2110581059. The cubic root of 422064608 is about 750.1123434674.

The spelling of 422064608 in words is "four hundred twenty-two million, sixty-four thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 43 56 58 86 112 116 172 203 224 232 301 344 406 464 602 688 812 928 1204 1247 1376 1511 1624 2408 2494 3022 3248 4816 4988 6044 6496 8729 9632 9976 10577 12088 17458 19952 21154 24176 34916 39904 42308 43819 48352 64973 69832 84616 87638 129946 139664 169232 175276 259892 279328 306733 338464 350552 454811 519784 613466 701104 909622 1039568 1226932 1402208 1819244 1884217 2079136 2453864 3638488 3768434 4907728 7276976 7536868 9815456 13189519 14553952 15073736 26379038 30147472 52758076 60294944 105516152 211032304 422064608