Search a number
-
+
5162928576 = 263135935059
BaseRepresentation
bin1001100111011110…
…00000100111000000
3111022210221221112220
410303233000213000
541033202203301
62212151251040
7241641111621
oct46357004700
914283857486
105162928576
11220a37a723
121001079a80
13643836330
1436d993a48
152033db936
hex133bc09c0

5162928576 has 112 divisors (see below), whose sum is σ = 14960803200. Its totient is φ = 1561623552.

The previous prime is 5162928571. The next prime is 5162928581. The reversal of 5162928576 is 6758292615.

It is an interprime number because it is at equal distance from previous prime (5162928571) and next prime (5162928581).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5162928571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129735 + ... + 164793.

It is an arithmetic number, because the mean of its divisors is an integer number (133578600).

Almost surely, 25162928576 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 5162928576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7480401600).

5162928576 is an abundant number, since it is smaller than the sum of its proper divisors (9797874624).

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

5162928576 is a wasteful number, since it uses less digits than its factorization.

5162928576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35146 (or 35136 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 51.

The square root of 5162928576 is about 71853.5216673477. The cubic root of 5162928576 is about 1728.3513731625.

The spelling of 5162928576 in words is "five billion, one hundred sixty-two million, nine hundred twenty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 59 64 78 96 104 118 156 177 192 208 236 312 354 416 472 624 708 767 832 944 1248 1416 1534 1888 2301 2496 2832 3068 3776 4602 5664 6136 9204 11328 12272 18408 24544 35059 36816 49088 70118 73632 105177 140236 147264 210354 280472 420708 455767 560944 841416 911534 1121888 1367301 1682832 1823068 2068481 2243776 2734602 3365664 3646136 4136962 5469204 6205443 6731328 7292272 8273924 10938408 12410886 14584544 16547848 21876816 24821772 26890253 29169088 33095696 43753632 49643544 53780506 66191392 80670759 87507264 99287088 107561012 132382784 161341518 198574176 215122024 322683036 397148352 430244048 645366072 860488096 1290732144 1720976192 2581464288 5162928576