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80008392 = 233171910321
BaseRepresentation
bin1001100010011…
…01010011001000
312120112211212210
410301031103020
5130440232032
611534505120
71661026422
oct461152310
9176484783
1080008392
1141187542
12229651a0
1313764159
14a8a9812
1570562cc
hex4c4d4c8

80008392 has 64 divisors (see below), whose sum is σ = 222955200. Its totient is φ = 23777280.

The previous prime is 80008391. The next prime is 80008417. The reversal of 80008392 is 29380008.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (80008391) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2592 + ... + 12912.

It is an arithmetic number, because the mean of its divisors is an integer number (3483675).

Almost surely, 280008392 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 80008392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111477600).

80008392 is an abundant number, since it is smaller than the sum of its proper divisors (142946808).

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

80008392 is a wasteful number, since it uses less digits than its factorization.

80008392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10366 (or 10362 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 80008392 is about 8944.7410247586. The cubic root of 80008392 is about 430.9020041595.

The spelling of 80008392 in words is "eighty million, eight thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 408 456 646 969 1292 1938 2584 3876 7752 10321 20642 30963 41284 61926 82568 123852 175457 196099 247704 350914 392198 526371 588297 701828 784396 1052742 1176594 1403656 1568792 2105484 2353188 3333683 4210968 4706376 6667366 10001049 13334732 20002098 26669464 40004196 80008392