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422738592 = 25317431601
BaseRepresentation
bin11001001100100…
…111101010100000
31002110110100022220
4121030213222200
51331210113332
6105540431040
713322135013
oct3114475240
91073410286
10422738592
111a7696841
12b96a8480
13697733a3
144020337a
15271a5d2c
hex19327aa0

422738592 has 96 divisors (see below), whose sum is σ = 1179650304. Its totient is φ = 132096000.

The previous prime is 422738587. The next prime is 422738593. The reversal of 422738592 is 295837224.

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

It is a super-2 number, since 2×4227385922 = 357415834332284928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (422738593) 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 15 ways as a sum of consecutive naturals, for example, 703092 + ... + 703692.

It is an arithmetic number, because the mean of its divisors is an integer number (12288024).

Almost surely, 2422738592 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 422738592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589825152).

422738592 is an abundant number, since it is smaller than the sum of its proper divisors (756911712).

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

422738592 is a wasteful number, since it uses less digits than its factorization.

422738592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1054 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 422738592 is about 20560.6077731180. The cubic root of 422738592 is about 750.5114094235.

The spelling of 422738592 in words is "four hundred twenty-two million, seven hundred thirty-eight thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 431 544 601 816 862 1202 1293 1632 1724 1803 2404 2586 3448 3606 4808 5172 6896 7212 7327 9616 10217 10344 13792 14424 14654 19232 20434 20688 21981 28848 29308 30651 40868 41376 43962 57696 58616 61302 81736 87924 117232 122604 163472 175848 234464 245208 259031 326944 351696 490416 518062 703392 777093 980832 1036124 1554186 2072248 3108372 4144496 4403527 6216744 8288992 8807054 12433488 13210581 17614108 24866976 26421162 35228216 52842324 70456432 105684648 140912864 211369296 422738592