Search a number
-
+
5210915344 = 2417294611433
BaseRepresentation
bin1001101101001100…
…00100001000010000
3111110011020221000121
410312212010020100
541132443242334
62221024000024
7243063023005
oct46646041020
914404227017
105210915344
112234475908
121015160014
1365076827b
143760c58ac
15207719db4
hex136984210

5210915344 has 80 divisors (see below), whose sum is σ = 11090383920. Its totient is φ = 2360852480.

The previous prime is 5210915329. The next prime is 5210915383. The reversal of 5210915344 is 4435190125.

It can be written as a sum of positive squares in 8 ways, for example, as 313714944 + 4897200400 = 17712^2 + 69980^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3635652 + ... + 3637084.

It is an arithmetic number, because the mean of its divisors is an integer number (138629799).

Almost surely, 25210915344 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 5210915344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5545191960).

5210915344 is an abundant number, since it is smaller than the sum of its proper divisors (5879468576).

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

5210915344 is a wasteful number, since it uses less digits than its factorization.

5210915344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 5210915344 is about 72186.6701268316. The cubic root of 5210915344 is about 1733.6895811484.

The spelling of 5210915344 in words is "five billion, two hundred ten million, nine hundred fifteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 461 464 493 922 986 1433 1844 1972 2866 3688 3944 5732 7376 7837 7888 11464 13369 15674 22928 24361 26738 31348 41557 48722 53476 62696 83114 97444 106952 125392 166228 194888 213904 227273 332456 389776 454546 660613 664912 706469 909092 1321226 1412938 1818184 2642452 2825876 3636368 5284904 5651752 10569808 11230421 11303504 19157777 22460842 38315554 44921684 76631108 89843368 153262216 179686736 306524432 325682209 651364418 1302728836 2605457672 5210915344