Search a number
-
+
4864619264 = 28113337499
BaseRepresentation
bin1001000011111010…
…00011001100000000
3110120000122021002212
410201331003030000
534430320304024
62122413401252
7231356403311
oct44175031400
913500567085
104864619264
112076a504aa
12b39199228
135c6aaac4b
14342100608
151d7113a0e
hex121f43300

4864619264 has 72 divisors (see below), whose sum is σ = 9844926000. Its totient is φ = 2398814208.

The previous prime is 4864619251. The next prime is 4864619269. The reversal of 4864619264 is 4629164684.

It is not an unprimeable number, because it can be changed into a prime (4864619269) 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, 9748487 + ... + 9748985.

Almost surely, 24864619264 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 4864619264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4922463000).

4864619264 is an abundant number, since it is smaller than the sum of its proper divisors (4980306736).

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

4864619264 is a wasteful number, since it uses less digits than its factorization.

4864619264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 951 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 50.

The square root of 4864619264 is about 69746.8226086321. The cubic root of 4864619264 is about 1694.4013356138.

The spelling of 4864619264 in words is "four billion, eight hundred sixty-four million, six hundred nineteen thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 337 452 499 674 904 998 1348 1808 1996 2696 3616 3992 5392 7232 7984 10784 14464 15968 21568 28928 31936 38081 43136 56387 63872 76162 86272 112774 127744 152324 168163 225548 304648 336326 451096 609296 672652 902192 1218592 1345304 1804384 2437184 2690608 3608768 4874368 5381216 7217536 9748736 10762432 14435072 19002419 21524864 38004838 43049728 76009676 152019352 304038704 608077408 1216154816 2432309632 4864619264