Search a number
-
+
5256464024 = 237310717903
BaseRepresentation
bin1001110010100111…
…10100011010011000
3111120022222001001202
410321103310122120
541231123322044
62225332133332
7244155131000
oct47123643230
914508861052
105256464024
112258156249
121028467248
1365a025556
1437c181000
1520b715c4e
hex1394f4698

5256464024 has 64 divisors (see below), whose sum is σ = 11601792000. Its totient is φ = 2231591712.

The previous prime is 5256464021. The next prime is 5256464027. The reversal of 5256464024 is 4204646525.

It is an interprime number because it is at equal distance from previous prime (5256464021) and next prime (5256464027).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5256464021) 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, 284657 + ... + 302559.

It is an arithmetic number, because the mean of its divisors is an integer number (181278000).

Almost surely, 25256464024 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 5256464024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5800896000).

5256464024 is an abundant number, since it is smaller than the sum of its proper divisors (6345327976).

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

5256464024 is a wasteful number, since it uses less digits than its factorization.

5256464024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18037 (or 18019 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The square root of 5256464024 is about 72501.4760125613. The cubic root of 5256464024 is about 1738.7263352786.

The spelling of 5256464024 in words is "five billion, two hundred fifty-six million, four hundred sixty-four thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 107 196 214 343 392 428 686 749 856 1372 1498 2744 2996 5243 5992 10486 17903 20972 35806 36701 41944 71612 73402 125321 143224 146804 250642 293608 501284 877247 1002568 1754494 1915621 3508988 3831242 6140729 7017976 7662484 12281458 13409347 15324968 24562916 26818694 49125832 53637388 93865429 107274776 187730858 375461716 657058003 750923432 1314116006 2628232012 5256464024