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80993328 = 24313315379
BaseRepresentation
bin1001101001111…
…01110000110000
312122101212221220
410310331300300
5131213241303
612011545040
72002301103
oct464756060
9178355856
1080993328
114179a539
122315b180
1313a1a560
14aa8473a
15719d053
hex4d3dc30

80993328 has 160 divisors (see below), whose sum is σ = 239984640. Its totient is φ = 23362560.

The previous prime is 80993303. The next prime is 80993347. The reversal of 80993328 is 82339908.

It is a self number, because there is not a number n which added to its sum of digits gives 80993328.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1025193 + ... + 1025271.

It is an arithmetic number, because the mean of its divisors is an integer number (1499904).

Almost surely, 280993328 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 80993328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119992320).

80993328 is an abundant number, since it is smaller than the sum of its proper divisors (158991312).

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

80993328 is a wasteful number, since it uses less digits than its factorization.

80993328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 80993328 is about 8999.6293257000. The cubic root of 80993328 is about 432.6629909029.

The spelling of 80993328 in words is "eighty million, nine hundred ninety-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 53 62 78 79 93 104 106 124 156 158 159 186 208 212 237 248 312 316 318 372 403 424 474 496 624 632 636 689 744 806 848 948 1027 1209 1264 1272 1378 1488 1612 1643 1896 2054 2067 2418 2449 2544 2756 3081 3224 3286 3792 4108 4134 4187 4836 4898 4929 5512 6162 6448 6572 7347 8216 8268 8374 9672 9796 9858 11024 12324 12561 13144 14694 16432 16536 16748 19344 19592 19716 21359 24648 25122 26288 29388 31837 33072 33496 39184 39432 42718 49296 50244 54431 58776 63674 64077 66992 78864 85436 95511 100488 108862 117552 127348 128154 129797 163293 170872 191022 200976 217724 254696 256308 259594 326586 341744 382044 389391 435448 509392 512616 519188 653172 764088 778782 870896 1025232 1038376 1306344 1528176 1557564 1687361 2076752 2612688 3115128 3374722 5062083 6230256 6749444 10124166 13498888 20248332 26997776 40496664 80993328