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80215296 = 283743347
BaseRepresentation
bin1001100011111…
…11110100000000
312120221100200220
410301333310000
5131013342141
611543143040
71662550560
oct461776400
9176840626
1080215296
1141308a37
1222a44a80
1313807395
14a920da0
157097766
hex4c7fd00

80215296 has 144 divisors (see below), whose sum is σ = 250381824. Its totient is φ = 22321152.

The previous prime is 80215249. The next prime is 80215307. The reversal of 80215296 is 69251208.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 230995 + ... + 231341.

Almost surely, 280215296 is an apocalyptic number.

80215296 is a gapful number since it is divisible by the number (86) 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 80215296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125190912).

80215296 is an abundant number, since it is smaller than the sum of its proper divisors (170166528).

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

80215296 is a wasteful number, since it uses less digits than its factorization.

80215296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 80215296 is about 8956.2992357335. The cubic root of 80215296 is about 431.2731260860.

The spelling of 80215296 in words is "eighty million, two hundred fifteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 128 129 168 172 192 224 256 258 301 336 344 347 384 448 516 602 672 688 694 768 896 903 1032 1041 1204 1344 1376 1388 1792 1806 2064 2082 2408 2429 2688 2752 2776 3612 4128 4164 4816 4858 5376 5504 5552 7224 7287 8256 8328 9632 9716 11008 11104 14448 14574 14921 16512 16656 19264 19432 22208 28896 29148 29842 33024 33312 38528 38864 44416 44763 57792 58296 59684 66624 77056 77728 88832 89526 104447 115584 116592 119368 133248 155456 179052 208894 231168 233184 238736 266496 310912 313341 358104 417788 466368 477472 621824 626682 716208 835576 932736 954944 1253364 1432416 1671152 1865472 1909888 2506728 2864832 3342304 3819776 5013456 5729664 6684608 10026912 11459328 13369216 20053824 26738432 40107648 80215296