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80441088 = 2837131151
BaseRepresentation
bin1001100101101…
…10111100000000
312121100211102120
410302312330000
5131043103323
611552044240
71664511060
oct462667400
9177324376
1080441088
1141452642
1222b33680
13138860a0
14a97d3a0
1570de5e3
hex4cb6f00

80441088 has 144 divisors (see below), whose sum is σ = 263725056. Its totient is φ = 21196800.

The previous prime is 80441087. The next prime is 80441113. The reversal of 80441088 is 88014408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80441087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69313 + ... + 70463.

It is an arithmetic number, because the mean of its divisors is an integer number (1831424).

Almost surely, 280441088 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 80441088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131862528).

80441088 is an abundant number, since it is smaller than the sum of its proper divisors (183283968).

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

80441088 is a wasteful number, since it uses less digits than its factorization.

80441088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 80441088 is about 8968.8955841843. The cubic root of 80441088 is about 431.6773997586.

The spelling of 80441088 in words is "eighty million, four hundred forty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 624 672 728 768 832 896 1092 1151 1248 1344 1456 1664 1792 2184 2302 2496 2688 2912 3328 3453 4368 4604 4992 5376 5824 6906 8057 8736 9208 9984 11648 13812 14963 16114 17472 18416 23296 24171 27624 29926 32228 34944 36832 44889 48342 55248 59852 64456 69888 73664 89778 96684 104741 110496 119704 128912 147328 179556 193368 209482 220992 239408 257824 294656 314223 359112 386736 418964 441984 478816 515648 628446 718224 773472 837928 883968 957632 1031296 1256892 1436448 1546944 1675856 1915264 2062592 2513784 2872896 3093888 3351712 3830528 5027568 5745792 6187776 6703424 10055136 11491584 13406848 20110272 26813696 40220544 80441088