Search a number
-
+
5007756 = 2231347683
BaseRepresentation
bin10011000110100110001100
3100102102100110
4103012212030
52240222011
6255200020
760364605
oct23064614
910372313
105007756
112910446
121816010
131064490
14944dac
1568dba6
hex4c698c

5007756 has 48 divisors (see below), whose sum is σ = 12870144. Its totient is φ = 1505856.

The previous prime is 5007733. The next prime is 5007791. The reversal of 5007756 is 6577005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6991 + ... + 7673.

It is an arithmetic number, because the mean of its divisors is an integer number (268128).

Almost surely, 25007756 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 5007756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6435072).

5007756 is an abundant number, since it is smaller than the sum of its proper divisors (7862388).

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

5007756 is a wasteful number, since it uses less digits than its factorization.

5007756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 5007756 is about 2237.8015997849. The cubic root of 5007756 is about 171.0859661457.

It can be divided in two parts, 500 and 7756, that added together give a triangular number (8256 = T128).

The spelling of 5007756 in words is "five million, seven thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 188 282 564 611 683 1222 1366 1833 2049 2444 2732 3666 4098 7332 8196 8879 17758 26637 32101 35516 53274 64202 96303 106548 128404 192606 385212 417313 834626 1251939 1669252 2503878 5007756