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80088444 = 22322224679
BaseRepresentation
bin1001100011000…
…00110101111100
312120200220200200
410301200311330
5131000312234
611540323500
71661512002
oct461406574
9176626620
1080088444
11412316a7
12229a3590
1313791717
14a8caa72
15706ed99
hex4c60d7c

80088444 has 18 divisors (see below), whose sum is σ = 202445880. Its totient is φ = 26696136.

The previous prime is 80088427. The next prime is 80088467. The reversal of 80088444 is 44488008.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×800884442 = 12828317724682272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2224679 = 80088444 / (8 + 0 + 0 + 8 + 8 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 80088399 and 80088408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1112304 + ... + 1112375.

Almost surely, 280088444 is an apocalyptic number.

It is an amenable number.

80088444 is an abundant number, since it is smaller than the sum of its proper divisors (122357436).

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

80088444 is a wasteful number, since it uses less digits than its factorization.

80088444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224689 (or 2224684 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 80088444 is about 8949.2147141523. The cubic root of 80088444 is about 431.0456685440.

The spelling of 80088444 in words is "eighty million, eighty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2224679 4449358 6674037 8898716 13348074 20022111 26696148 40044222 80088444