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80442612 = 22336711117
BaseRepresentation
bin1001100101101…
…11010011110100
312121100220112000
410302313103310
5131043130422
611552055300
71664515365
oct462672364
9177326460
1080442612
11414537a8
1222b34530
13138869a3
14a97db6c
1570decac
hex4cb74f4

80442612 has 48 divisors (see below), whose sum is σ = 211686720. Its totient is φ = 26411616.

The previous prime is 80442611. The next prime is 80442617. The reversal of 80442612 is 21624408.

80442612 is a `hidden beast` number, since 8 + 0 + 4 + 42 + 612 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80442611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1678 + ... + 12794.

It is an arithmetic number, because the mean of its divisors is an integer number (4410140).

Almost surely, 280442612 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 80442612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105843360).

80442612 is an abundant number, since it is smaller than the sum of its proper divisors (131244108).

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

80442612 is a wasteful number, since it uses less digits than its factorization.

80442612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11197 (or 11189 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 80442612 is about 8968.9805440752. The cubic root of 80442612 is about 431.6801258622.

The spelling of 80442612 in words is "eighty million, four hundred forty-two thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 108 134 201 268 402 603 804 1206 1809 2412 3618 7236 11117 22234 33351 44468 66702 100053 133404 200106 300159 400212 600318 744839 1200636 1489678 2234517 2979356 4469034 6703551 8938068 13407102 20110653 26814204 40221306 80442612