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5135440392 = 233327785831
BaseRepresentation
bin1001100100001100…
…01001101000001000
3111020220020101212000
410302012021220020
541004133043032
62205330151000
7241155344265
oct46206115010
914226211760
105135440392
1121a5905415
12bb3a22460
1363ac30734
1436a07a26c
15200cabe7c
hex132189a08

5135440392 has 64 divisors (see below), whose sum is σ = 14316777600. Its totient is φ = 1705613760.

The previous prime is 5135440381. The next prime is 5135440397. The reversal of 5135440392 is 2930445315.

5135440392 is a `hidden beast` number, since 513 + 54 + 4 + 0 + 3 + 92 = 666.

It is a super-2 number, since 2×51354403922 = 52745496039570227328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5135440397) by changing a digit.

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, 16917 + ... + 102747.

It is an arithmetic number, because the mean of its divisors is an integer number (223699650).

Almost surely, 25135440392 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 5135440392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7158388800).

5135440392 is an abundant number, since it is smaller than the sum of its proper divisors (9181337208).

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

5135440392 is a wasteful number, since it uses less digits than its factorization.

5135440392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86123 (or 86113 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5135440392 is about 71661.9870782272. The cubic root of 5135440392 is about 1725.2785818506.

The spelling of 5135440392 in words is "five billion, one hundred thirty-five million, four hundred forty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 277 554 831 1108 1662 2216 2493 3324 4986 6648 7479 9972 14958 19944 29916 59832 85831 171662 257493 343324 514986 686648 772479 1029972 1544958 2059944 2317437 3089916 4634874 6179832 9269748 18539496 23775187 47550374 71325561 95100748 142651122 190201496 213976683 285302244 427953366 570604488 641930049 855906732 1283860098 1711813464 2567720196 5135440392