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80990208 = 21232133
BaseRepresentation
bin1001101001111…
…01000000000000
312122101201200100
410310331000000
5131213141313
612011522400
72002256025
oct464750000
9178351610
1080990208
1141798162
1223159400
1313a19000
14aa8354c
15719c173
hex4d3d000

80990208 has 156 divisors (see below), whose sum is σ = 253429540. Its totient is φ = 24920064.

The previous prime is 80990167. The next prime is 80990213. The reversal of 80990208 is 80209908.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2985984 + 78004224 = 1728^2 + 8832^2 .

It is a tau number, because it is divible by the number of its divisors (156).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6230010 + ... + 6230022.

Almost surely, 280990208 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 80990208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126714770).

80990208 is an abundant number, since it is smaller than the sum of its proper divisors (172439332).

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

80990208 is an equidigital number, since it uses as much as digits as its factorization.

80990208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 80990208 is about 8999.4559835581. The cubic root of 80990208 is about 432.6574351948.

The spelling of 80990208 in words is "eighty million, nine hundred ninety thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 169 192 208 234 256 288 312 338 384 416 468 507 512 576 624 676 768 832 936 1014 1024 1152 1248 1352 1521 1536 1664 1872 2028 2048 2197 2304 2496 2704 3042 3072 3328 3744 4056 4096 4394 4608 4992 5408 6084 6144 6591 6656 7488 8112 8788 9216 9984 10816 12168 12288 13182 13312 14976 16224 17576 18432 19773 19968 21632 24336 26364 26624 29952 32448 35152 36864 39546 39936 43264 48672 52728 53248 59904 64896 70304 79092 79872 86528 97344 105456 119808 129792 140608 158184 159744 173056 194688 210912 239616 259584 281216 316368 346112 389376 421824 479232 519168 562432 632736 692224 778752 843648 1038336 1124864 1265472 1557504 1687296 2076672 2249728 2530944 3115008 3374592 4499456 5061888 6230016 6749184 8998912 10123776 13498368 20247552 26996736 40495104 80990208