Search a number
-
+
4464947680 = 255231213301
BaseRepresentation
bin1000010100010000…
…11011000111100000
3102112011120211202121
410022020123013200
533121011311210
62015015154024
7215434300114
oct41210330740
912464524677
104464947680
11199138a306
12a47375914
13562052c9b
14304dc3744
151b1eb76da
hex10a21b1e0

4464947680 has 48 divisors (see below), whose sum is σ = 11007075744. Its totient is φ = 1708326400.

The previous prime is 4464947659. The next prime is 4464947687. The reversal of 4464947680 is 867494644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4464947687) 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, 602971 + ... + 610330.

It is an arithmetic number, because the mean of its divisors is an integer number (229314078).

Almost surely, 24464947680 is an apocalyptic number.

4464947680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4464947680 is an abundant number, since it is smaller than the sum of its proper divisors (6542128064).

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

4464947680 is a wasteful number, since it uses less digits than its factorization.

4464947680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213339 (or 1213331 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 52.

The square root of 4464947680 is about 66820.2639922950. The cubic root of 4464947680 is about 1646.6657713520.

It can be divided in two parts, 44649 and 47680, that added together give a palindrome (92329).

The spelling of 4464947680 in words is "four billion, four hundred sixty-four million, nine hundred forty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 1213301 2426602 4853204 6066505 9706408 12133010 19412816 24266020 27905923 38825632 48532040 55811846 97064080 111623692 139529615 194128160 223247384 279059230 446494768 558118460 892989536 1116236920 2232473840 4464947680