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80679888 = 24366917
BaseRepresentation
bin1001100111100…
…01001111010000
312121210222000000
410303301033100
5131123224023
612001130000
71666524222
oct463611720
9177728000
1080679888
11415a5aa3
1223029900
131393a9a3
14aa02412
15713a243
hex4cf13d0

80679888 has 70 divisors (see below), whose sum is σ = 234402594. Its totient is φ = 26889408.

The previous prime is 80679787. The next prime is 80679899. The reversal of 80679888 is 88897608.

It can be written as a sum of positive squares in only one way, i.e., 72795024 + 7884864 = 8532^2 + 2808^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 13 ways as a sum of consecutive naturals, for example, 8206 + ... + 15122.

Almost surely, 280679888 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 80679888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117201297).

80679888 is an abundant number, since it is smaller than the sum of its proper divisors (153722706).

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

80679888 is an equidigital number, since it uses as much as digits as its factorization.

80679888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6943 (or 6922 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The square root of 80679888 is about 8982.1983946025. The cubic root of 80679888 is about 432.1041415594.

It can be divided in two parts, 8067 and 9888, that added together give a triangular number (17955 = T189).

The spelling of 80679888 in words is "eighty million, six hundred seventy-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 6917 11664 13834 20751 27668 41502 55336 62253 83004 110672 124506 166008 186759 249012 332016 373518 498024 560277 747036 996048 1120554 1494072 1680831 2241108 2988144 3361662 4482216 5042493 6723324 8964432 10084986 13446648 20169972 26893296 40339944 80679888