Search a number
-
+
80507844 = 22379203
BaseRepresentation
bin1001100110001…
…11001111000100
312121111020000000
410303013033010
5131102222334
611553321300
71665206514
oct463071704
9177436000
1080507844
114149880a
1222b66230
13138aa5a1
14a999844
157104299
hex4cc73c4

80507844 has 48 divisors (see below), whose sum is σ = 211323840. Its totient is φ = 26833032.

The previous prime is 80507813. The next prime is 80507863. The reversal of 80507844 is 44870508.

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

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 80507799 and 80507808.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4147 + ... + 13349.

It is an arithmetic number, because the mean of its divisors is an integer number (4402580).

Almost surely, 280507844 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 80507844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105661920).

80507844 is an abundant number, since it is smaller than the sum of its proper divisors (130815996).

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

80507844 is an equidigital number, since it uses as much as digits as its factorization.

80507844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9228 (or 9208 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 80507844 is about 8972.6163408451. The cubic root of 80507844 is about 431.7967794164.

The spelling of 80507844 in words is "eighty million, five hundred seven thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 8748 9203 18406 27609 36812 55218 82827 110436 165654 248481 331308 496962 745443 993924 1490886 2236329 2981772 4472658 6708987 8945316 13417974 20126961 26835948 40253922 80507844