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80288946 = 23219317573
BaseRepresentation
bin1001100100100…
…01110010110010
312121002002201200
410302101302302
5131023221241
611544512030
71663305363
oct462216262
9177062650
1080288946
1141359301
1222a7b616
1313831a6a
14a93db6a
1570ae4b6
hex4c91cb2

80288946 has 48 divisors (see below), whose sum is σ = 189047040. Its totient is φ = 24533280.

The previous prime is 80288941. The next prime is 80288963. The reversal of 80288946 is 64988208.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (80288941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6816 + ... + 14388.

It is an arithmetic number, because the mean of its divisors is an integer number (3938480).

Almost surely, 280288946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80288946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94523520).

80288946 is an abundant number, since it is smaller than the sum of its proper divisors (108758094).

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

80288946 is a wasteful number, since it uses less digits than its factorization.

80288946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7631 (or 7628 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 80288946 is about 8960.4099236586. The cubic root of 80288946 is about 431.4050774348.

The spelling of 80288946 in words is "eighty million, two hundred eighty-eight thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 279 342 558 589 1178 1767 3534 5301 7573 10602 15146 22719 45438 68157 136314 143887 234763 287774 431661 469526 704289 863322 1294983 1408578 2112867 2589966 4225734 4460497 8920994 13381491 26762982 40144473 80288946