Search a number
-
+
5245179624 = 233423351931
BaseRepresentation
bin1001110001010001…
…10001011011101000
3111112112201201210000
410320220301123220
541220231221444
62224250223000
7243660201606
oct47050613350
914475651700
105245179624
1122518490a3
121024724a60
136578a41a9
1437a884876
1520a737469
hex138a316e8

5245179624 has 80 divisors (see below), whose sum is σ = 15330157920. Its totient is φ = 1672371360.

The previous prime is 5245179623. The next prime is 5245179631. The reversal of 5245179624 is 4269715425.

5245179624 is a `hidden beast` number, since 5 + 2 + 4 + 5 + 17 + 9 + 624 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5245179624.

It is not an unprimeable number, because it can be changed into a prime (5245179623) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 161062 + ... + 190869.

It is an arithmetic number, because the mean of its divisors is an integer number (191626974).

Almost surely, 25245179624 is an apocalyptic number.

5245179624 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5245179624 is an abundant number, since it is smaller than the sum of its proper divisors (10084978296).

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

5245179624 is a wasteful number, since it uses less digits than its factorization.

5245179624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351972 (or 351959 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 5245179624 is about 72423.6123374138. The cubic root of 5245179624 is about 1737.4812308170.

The spelling of 5245179624 in words is "five billion, two hundred forty-five million, one hundred seventy-nine thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 276 324 414 552 621 648 828 1242 1656 1863 2484 3726 4968 7452 14904 351931 703862 1055793 1407724 2111586 2815448 3167379 4223172 6334758 8094413 8446344 9502137 12669516 16188826 19004274 24283239 25339032 28506411 32377652 38008548 48566478 57012822 64755304 72849717 76017096 97132956 114025644 145699434 194265912 218549151 228051288 291398868 437098302 582797736 655647453 874196604 1311294906 1748393208 2622589812 5245179624