Search a number
-
+
6315053024 = 257239117959
BaseRepresentation
bin1011110000110100…
…00000111111100000
3121022002212221011202
411320122000333200
5100413123144044
62522345300332
7312331031210
oct57032007740
917262787152
106315053024
112750756895
121282a946a8
13798437387
1443c9c0240
1526e61bc4e
hex178680fe0

6315053024 has 48 divisors (see below), whose sum is σ = 14268441600. Its totient is φ = 2695104384.

The previous prime is 6315052981. The next prime is 6315053027. The reversal of 6315053024 is 4203505136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6315053027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5444 + ... + 112515.

It is an arithmetic number, because the mean of its divisors is an integer number (297259200).

Almost surely, 26315053024 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 6315053024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7134220800).

6315053024 is an abundant number, since it is smaller than the sum of its proper divisors (7953388576).

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

6315053024 is a wasteful number, since it uses less digits than its factorization.

6315053024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118215 (or 118207 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 6315053024 is about 79467.3078945046. The cubic root of 6315053024 is about 1848.3845673055.

The spelling of 6315053024 in words is "six billion, three hundred fifteen million, fifty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 239 478 956 1673 1912 3346 3824 6692 7648 13384 26768 53536 117959 235918 471836 825713 943672 1651426 1887344 3302852 3774688 6605704 13211408 26422816 28192201 56384402 112768804 197345407 225537608 394690814 451075216 789381628 902150432 1578763256 3157526512 6315053024