Search a number
-
+
4706976464 = 24418980621
BaseRepresentation
bin1000110001000111…
…01100001011010000
3110011001000011211122
410120203230023100
534114441221324
62055022501412
7224433432311
oct43043541320
913131004748
104706976464
111aa5a690a3
12ab4434868
135a0234398
143291c6608
151c8374a5e
hex1188ec2d0

4706976464 has 40 divisors (see below), whose sum is σ = 9447285960. Its totient is φ = 2270259200.

The previous prime is 4706976413. The next prime is 4706976509. The reversal of 4706976464 is 4646796074.

It can be written as a sum of positive squares in 4 ways, for example, as 699073600 + 4007902864 = 26440^2 + 63308^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18074 + ... + 98694.

It is an arithmetic number, because the mean of its divisors is an integer number (236182149).

Almost surely, 24706976464 is an apocalyptic number.

It is an amenable number.

4706976464 is an abundant number, since it is smaller than the sum of its proper divisors (4740309496).

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

4706976464 is a wasteful number, since it uses less digits than its factorization.

4706976464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80759 (or 80753 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 53.

The square root of 4706976464 is about 68607.4082297240. The cubic root of 4706976464 is about 1675.8970721874.

The spelling of 4706976464 in words is "four billion, seven hundred six million, nine hundred seventy-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 41 82 89 164 178 328 356 656 712 1424 3649 7298 14596 29192 58384 80621 161242 322484 644968 1289936 3305461 6610922 7175269 13221844 14350538 26443688 28701076 52887376 57402152 114804304 294186029 588372058 1176744116 2353488232 4706976464