Search a number
-
+
6838407264 = 253135479493
BaseRepresentation
bin1100101111001100…
…11101000001100000
3122122120200002020010
412113212131001200
5103001113013024
63050322444520
7331314334263
oct62746350140
918576602203
106838407264
11299a114657
1213aa203740
1384c9a8540
1448c2d4cda
152a0549b29
hex19799d060

6838407264 has 48 divisors (see below), whose sum is σ = 19331654832. Its totient is φ = 2104124928.

The previous prime is 6838407259. The next prime is 6838407281. The reversal of 6838407264 is 4627048386.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2738499 + ... + 2740994.

It is an arithmetic number, because the mean of its divisors is an integer number (402742809).

Almost surely, 26838407264 is an apocalyptic number.

It is an amenable number.

6838407264 is an abundant number, since it is smaller than the sum of its proper divisors (12493247568).

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

6838407264 is a wasteful number, since it uses less digits than its factorization.

6838407264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5479519 (or 5479511 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The square root of 6838407264 is about 82694.6628507548. The cubic root of 6838407264 is about 1898.0966409117.

The spelling of 6838407264 in words is "six billion, eight hundred thirty-eight million, four hundred seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 5479493 10958986 16438479 21917972 32876958 43835944 65753916 71233409 87671888 131507832 142466818 175343776 213700227 263015664 284933636 427400454 526031328 569867272 854800908 1139734544 1709601816 2279469088 3419203632 6838407264