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427326768 = 243211349773
BaseRepresentation
bin11001011110000…
…111110100110000
31002210002110010100
4121132013310300
51333343424033
6110223032400
713406134431
oct3136076460
91083073110
10427326768
111aa23aa20
12bb13b700
136a6bb89b
1440a79488
15277b0513
hex19787d30

427326768 has 120 divisors (see below), whose sum is σ = 1310072400. Its totient is φ = 128954880.

The previous prime is 427326763. The next prime is 427326799. The reversal of 427326768 is 867623724.

It is not an unprimeable number, because it can be changed into a prime (427326763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 552430 + ... + 553202.

It is an arithmetic number, because the mean of its divisors is an integer number (10917270).

Almost surely, 2427326768 is an apocalyptic number.

427326768 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 427326768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655036200).

427326768 is an abundant number, since it is smaller than the sum of its proper divisors (882745632).

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

427326768 is a wasteful number, since it uses less digits than its factorization.

427326768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1138 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 427326768 is about 20671.8835136037. The cubic root of 427326768 is about 753.2168600222.

The spelling of 427326768 in words is "four hundred twenty-seven million, three hundred twenty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 349 396 528 698 773 792 1047 1396 1546 1584 2094 2319 2792 3092 3141 3839 4188 4638 5584 6184 6282 6957 7678 8376 8503 9276 11517 12368 12564 13914 15356 16752 17006 18552 23034 25128 25509 27828 30712 34012 34551 37104 46068 50256 51018 55656 61424 68024 69102 76527 92136 102036 111312 136048 138204 153054 184272 204072 269777 276408 306108 408144 539554 552816 612216 809331 1079108 1224432 1618662 2158216 2427993 2967547 3237324 4316432 4855986 5935094 6474648 8902641 9711972 11870188 12949296 17805282 19423944 23740376 26707923 35610564 38847888 47480752 53415846 71221128 106831692 142442256 213663384 427326768