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80803456 = 274189173
BaseRepresentation
bin1001101000011…
…11011010000000
312122001020111121
410310033122000
5131141202311
612003522024
72000550406
oct464173200
9178036447
1080803456
114167a918
1223089314
1313981cc6
14aa35476
157161b71
hex4d0f680

80803456 has 64 divisors (see below), whose sum is σ = 167718600. Its totient is φ = 38748160.

The previous prime is 80803427. The next prime is 80803519. The reversal of 80803456 is 65430808.

It can be written as a sum of positive squares in 4 ways, for example, as 54997056 + 25806400 = 7416^2 + 5080^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 466986 + ... + 467158.

Almost surely, 280803456 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 80803456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83859300).

80803456 is an abundant number, since it is smaller than the sum of its proper divisors (86915144).

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

80803456 is a wasteful number, since it uses less digits than its factorization.

80803456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 80803456 is about 8989.0742571190. The cubic root of 80803456 is about 432.3246302496.

The spelling of 80803456 in words is "eighty million, eight hundred three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 41 64 82 89 128 164 173 178 328 346 356 656 692 712 1312 1384 1424 2624 2768 2848 3649 5248 5536 5696 7093 7298 11072 11392 14186 14596 15397 22144 28372 29192 30794 56744 58384 61588 113488 116768 123176 226976 233536 246352 453952 467072 492704 631277 907904 985408 1262554 1970816 2525108 5050216 10100432 20200864 40401728 80803456