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422318448 = 24311149
BaseRepresentation
bin11001001011000…
…001000101110000
31002102200000000000
4121023001011300
51331103142243
6105523430000
713315435056
oct3113010560
91072600000
10422318448
111a742a112
12b9525300
1369657096
14401341d6
15271215d3
hex192c1170

422318448 has 120 divisors (see below), whose sum is σ = 1235598000. Its totient is φ = 139828032.

The previous prime is 422318447. The next prime is 422318467. The reversal of 422318448 is 844813224.

It is a super-2 number, since 2×4223184482 = 356705743042257408, which contains 22 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 not an unprimeable number, because it can be changed into a prime (422318443) 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 23 ways as a sum of consecutive naturals, for example, 2834278 + ... + 2834426.

It is an arithmetic number, because the mean of its divisors is an integer number (10296650).

Almost surely, 2422318448 is an apocalyptic number.

422318448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422318448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617799000).

422318448 is an abundant number, since it is smaller than the sum of its proper divisors (813279552).

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

422318448 is an frugal number, since it uses more digits than its factorization.

422318448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 154 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 422318448 is about 20550.3880255337. The cubic root of 422318448 is about 750.2626919798.

The spelling of 422318448 in words is "four hundred twenty-two million, three hundred eighteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 149 162 216 243 298 324 432 447 486 596 648 729 894 972 1192 1296 1341 1458 1788 1944 2187 2384 2682 2916 3576 3888 4023 4374 5364 5832 6561 7152 8046 8748 10728 11664 12069 13122 16092 17496 19683 21456 24138 26244 32184 34992 36207 39366 48276 52488 59049 64368 72414 78732 96552 104976 108621 118098 144828 157464 177147 193104 217242 236196 289656 314928 325863 354294 434484 472392 579312 651726 708588 868968 944784 977589 1303452 1417176 1737936 1955178 2606904 2834352 2932767 3910356 5213808 5865534 7820712 8798301 11731068 15641424 17596602 23462136 26394903 35193204 46924272 52789806 70386408 105579612 140772816 211159224 422318448