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80047764 = 22341714533
BaseRepresentation
bin1001100010101…
…10111010010100
312120121211220000
410301112322110
5130443012024
611535411300
71661252256
oct461267224
9176554800
1080047764
1141204085
1222983b30
1313779054
14a8b9cd6
157062cc9
hex4c56e94

80047764 has 60 divisors (see below), whose sum is σ = 221585364. Its totient is φ = 25111296.

The previous prime is 80047763. The next prime is 80047769. The reversal of 80047764 is 46774008.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 54464400 + 25583364 = 7380^2 + 5058^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80047763) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1759 + ... + 12774.

Almost surely, 280047764 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 80047764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110792682).

80047764 is an abundant number, since it is smaller than the sum of its proper divisors (141537600).

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

80047764 is a wasteful number, since it uses less digits than its factorization.

80047764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14566 (or 14555 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 80047764 is about 8946.9416003459. The cubic root of 80047764 is about 430.9726746277.

The spelling of 80047764 in words is "eighty million, forty-seven thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508 14533 29066 43599 58132 87198 130797 174396 247061 261594 392391 494122 523188 741183 784782 988244 1177173 1482366 1569564 2223549 2354346 2964732 4447098 4708692 6670647 8894196 13341294 20011941 26682588 40023882 80047764