Search a number
-
+
80726382 = 2341189509
BaseRepresentation
bin1001100111111…
…00100101101110
312121220022210000
410303330211232
5131131221012
612002125130
72000106612
oct463744556
9177808700
1080726382
1141627a20
12230507a6
1313955bb9
14aa15342
157148ddc
hex4cfc96e

80726382 has 80 divisors (see below), whose sum is σ = 199940400. Its totient is φ = 24140160.

The previous prime is 80726333. The next prime is 80726411. The reversal of 80726382 is 28362708.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 158344 + ... + 158852.

It is an arithmetic number, because the mean of its divisors is an integer number (2499255).

Almost surely, 280726382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80726382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99970200).

80726382 is an abundant number, since it is smaller than the sum of its proper divisors (119214018).

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

80726382 is a wasteful number, since it uses less digits than its factorization.

80726382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 80726382 is about 8984.7861410275. The cubic root of 80726382 is about 432.1871295775.

The spelling of 80726382 in words is "eighty million, seven hundred twenty-six thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 89 99 162 178 198 267 297 509 534 594 801 891 979 1018 1527 1602 1782 1958 2403 2937 3054 4581 4806 5599 5874 7209 8811 9162 11198 13743 14418 16797 17622 26433 27486 33594 41229 45301 50391 52866 79299 82458 90602 100782 135903 151173 158598 271806 302346 407709 453519 498311 815418 907038 996622 1223127 1494933 2446254 2989866 3669381 4484799 7338762 8969598 13454397 26908794 40363191 80726382