Search a number
-
+
80649738 = 23213523659
BaseRepresentation
bin1001100111010…
…01111000001010
312121202102122100
410303221320022
5131121242423
612000334230
71666340301
oct463517012
9177672570
1080649738
1141585384
1223014376
131392a050
14a9d5438
157131343
hex4ce9e0a

80649738 has 48 divisors (see below), whose sum is σ = 188828640. Its totient is φ = 24730272.

The previous prime is 80649733. The next prime is 80649769. The reversal of 80649738 is 83794608.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 80649693 and 80649702.

It is not an unprimeable number, because it can be changed into a prime (80649731) 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 23 ways as a sum of consecutive naturals, for example, 122053 + ... + 122711.

It is an arithmetic number, because the mean of its divisors is an integer number (3933930).

Almost surely, 280649738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80649738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94414320).

80649738 is an abundant number, since it is smaller than the sum of its proper divisors (108178902).

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

80649738 is a wasteful number, since it uses less digits than its factorization.

80649738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 80649738 is about 8980.5199181339. The cubic root of 80649738 is about 432.0503092130.

The spelling of 80649738 in words is "eighty million, six hundred forty-nine thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 523 659 1046 1318 1569 1977 3138 3954 4707 5931 6799 8567 9414 11862 13598 17134 20397 25701 40794 51402 61191 77103 122382 154206 344657 689314 1033971 2067942 3101913 4480541 6203826 8961082 13441623 26883246 40324869 80649738