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80443296 = 2532279317
BaseRepresentation
bin1001100101101…
…11011110100000
312121100221110100
410302313132200
5131043141141
611552102400
71664520363
oct462673640
9177327410
1080443296
114145426a
1222b34a00
13138870ab
14a9800da
1570e00b6
hex4cb77a0

80443296 has 36 divisors (see below), whose sum is σ = 228761442. Its totient is φ = 26814336.

The previous prime is 80443247. The next prime is 80443327. The reversal of 80443296 is 69234408.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 80353296 + 90000 = 8964^2 + 300^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×804432962 = 12942247742687232, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 80443296.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139371 + ... + 139946.

Almost surely, 280443296 is an apocalyptic number.

It is an amenable number.

80443296 is an abundant number, since it is smaller than the sum of its proper divisors (148318146).

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

80443296 is a wasteful number, since it uses less digits than its factorization.

80443296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279333 (or 279322 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 80443296 is about 8969.0186754182. The cubic root of 80443296 is about 431.6813493778.

It can be divided in two parts, 804 and 43296, that added together give a square (44100 = 2102).

The spelling of 80443296 in words is "eighty million, four hundred forty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 279317 558634 837951 1117268 1675902 2234536 2513853 3351804 4469072 5027706 6703608 8938144 10055412 13407216 20110824 26814432 40221648 80443296