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80137792 = 2671131583
BaseRepresentation
bin1001100011011…
…00111001000000
312120210102101101
410301230321000
5131003402132
611541344144
71662105610
oct461547100
9176712341
1080137792
1141265789
1222a08054
13137ab017
14a900a40
15707e7e7
hex4c6ce40

80137792 has 56 divisors (see below), whose sum is σ = 183465216. Its totient is φ = 34019328.

The previous prime is 80137769. The next prime is 80137793. The reversal of 80137792 is 29773108.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80137793) 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 7 ways as a sum of consecutive naturals, for example, 49833 + ... + 51415.

Almost surely, 280137792 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 80137792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91732608).

80137792 is an abundant number, since it is smaller than the sum of its proper divisors (103327424).

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

80137792 is a wasteful number, since it uses less digits than its factorization.

80137792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 80137792 is about 8951.9714029928. The cubic root of 80137792 is about 431.1341826633.

The spelling of 80137792 in words is "eighty million, one hundred thirty-seven thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 224 226 448 452 791 904 1582 1583 1808 3164 3166 3616 6328 6332 7232 11081 12656 12664 22162 25312 25328 44324 50624 50656 88648 101312 177296 178879 354592 357758 709184 715516 1252153 1431032 2504306 2862064 5008612 5724128 10017224 11448256 20034448 40068896 80137792