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80450880 = 2635181463
BaseRepresentation
bin1001100101110…
…01010101000000
312121101022212020
410302321111000
5131043412010
611552201440
71664551446
oct462712500
9177338766
1080450880
1141459a34
1222b39280
131388a693
14a982b96
1570e2470
hex4cb9540

80450880 has 112 divisors (see below), whose sum is σ = 257397504. Its totient is φ = 21288960.

The previous prime is 80450879. The next prime is 80450947. The reversal of 80450880 is 8805408.

It is a super-3 number, since 3×804508803 (a number of 25 digits) contains 333 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173529 + ... + 173991.

It is an arithmetic number, because the mean of its divisors is an integer number (2298192).

Almost surely, 280450880 is an apocalyptic number.

80450880 is a gapful number since it is divisible by the number (80) 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 80450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128698752).

80450880 is an abundant number, since it is smaller than the sum of its proper divisors (176946624).

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

80450880 is a wasteful number, since it uses less digits than its factorization.

80450880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 80450880 is about 8969.4414541821. The cubic root of 80450880 is about 431.6949149104.

The spelling of 80450880 in words is "eighty million, four hundred fifty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 181 192 240 320 362 463 480 543 724 905 926 960 1086 1389 1448 1810 1852 2172 2315 2715 2778 2896 3620 3704 4344 4630 5430 5556 5792 6945 7240 7408 8688 9260 10860 11112 11584 13890 14480 14816 17376 18520 21720 22224 27780 28960 29632 34752 37040 43440 44448 55560 57920 74080 83803 86880 88896 111120 148160 167606 173760 222240 251409 335212 419015 444480 502818 670424 838030 1005636 1257045 1340848 1676060 2011272 2514090 2681696 3352120 4022544 5028180 5363392 6704240 8045088 10056360 13408480 16090176 20112720 26816960 40225440 80450880