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5166756 = 22327229101
BaseRepresentation
bin10011101101011010100100
3100201111110100
4103231122210
52310314011
6302424100
761626300
oct23553244
910644410
105166756
112a09951
121892030
1310bb96a
14986d00
156c0d56
hex4ed6a4

5166756 has 108 divisors (see below), whose sum is σ = 15872220. Its totient is φ = 1411200.

The previous prime is 5166737. The next prime is 5166787. The reversal of 5166756 is 6576615.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4064256 + 1102500 = 2016^2 + 1050^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 5166756.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51106 + ... + 51206.

It is an arithmetic number, because the mean of its divisors is an integer number (146965).

Almost surely, 25166756 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 5166756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7936110).

5166756 is an abundant number, since it is smaller than the sum of its proper divisors (10705464).

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

5166756 is a wasteful number, since it uses less digits than its factorization.

5166756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 5166756 is about 2273.0499334594. The cubic root of 5166756 is about 172.8778359477.

The spelling of 5166756 in words is "five million, one hundred sixty-six thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 49 58 63 84 87 98 101 116 126 147 174 196 202 203 252 261 294 303 348 404 406 441 522 588 606 609 707 812 882 909 1044 1212 1218 1414 1421 1764 1818 1827 2121 2436 2828 2842 2929 3636 3654 4242 4263 4949 5684 5858 6363 7308 8484 8526 8787 9898 11716 12726 12789 14847 17052 17574 19796 20503 25452 25578 26361 29694 35148 41006 44541 51156 52722 59388 61509 82012 89082 105444 123018 143521 178164 184527 246036 287042 369054 430563 574084 738108 861126 1291689 1722252 2583378 5166756