Search a number
-
+
80138464 = 2571312731
BaseRepresentation
bin1001100011011…
…01000011100000
312120210110022021
410301231003200
5131003412324
611541351224
71662110560
oct461550340
9176713267
1080138464
114126623a
1222a08514
13137ab413
14a900da0
15707eae4
hex4c6d0e0

80138464 has 48 divisors (see below), whose sum is σ = 181754496. Its totient is φ = 34070400.

The previous prime is 80138449. The next prime is 80138473. The reversal of 80138464 is 46483108.

It is a congruent number.

It is an unprimeable number.

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, 27979 + ... + 30709.

It is an arithmetic number, because the mean of its divisors is an integer number (3786552).

Almost surely, 280138464 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 80138464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90877248).

80138464 is an abundant number, since it is smaller than the sum of its proper divisors (101616032).

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

80138464 is a wasteful number, since it uses less digits than its factorization.

80138464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 80138464 is about 8952.0089365460. The cubic root of 80138464 is about 431.1353877599.

The spelling of 80138464 in words is "eighty million, one hundred thirty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 131 224 262 524 917 1048 1834 2096 2731 3668 4192 5462 7336 10924 14672 19117 21848 29344 38234 43696 76468 87392 152936 305872 357761 611744 715522 1431044 2504327 2862088 5008654 5724176 10017308 11448352 20034616 40069232 80138464