Search a number
-
+
5060358944 = 25296189393
BaseRepresentation
bin1001011011001111…
…01111001100100000
3111001122221212110122
410231213233030200
540330422441234
62154045015412
7236254225034
oct45547571440
914048855418
105060358944
112167493633
12b92854568
13628503044
143600d41c4
151e93ca92e
hex12d9ef320

5060358944 has 48 divisors (see below), whose sum is σ = 10475188920. Its totient is φ = 2402856960.

The previous prime is 5060358943. The next prime is 5060358967. The reversal of 5060358944 is 4498530605.

It can be written as a sum of positive squares in 4 ways, for example, as 2041955344 + 3018403600 = 45188^2 + 54940^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5060358895 and 5060358904.

It is not an unprimeable number, because it can be changed into a prime (5060358943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11912 + ... + 101304.

Almost surely, 25060358944 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 5060358944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5237594460).

5060358944 is an abundant number, since it is smaller than the sum of its proper divisors (5414829976).

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

5060358944 is a wasteful number, since it uses less digits than its factorization.

5060358944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89493 (or 89485 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The square root of 5060358944 is about 71136.1999547347. The cubic root of 5060358944 is about 1716.8292657664.

The spelling of 5060358944 in words is "five billion, sixty million, three hundred fifty-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 61 116 122 232 244 464 488 928 976 1769 1952 3538 7076 14152 28304 56608 89393 178786 357572 715144 1430288 2592397 2860576 5184794 5452973 10369588 10905946 20739176 21811892 41478352 43623784 82956704 87247568 158136217 174495136 316272434 632544868 1265089736 2530179472 5060358944