Search a number
-
+
4407485264 = 247133197649
BaseRepresentation
bin1000001101011010…
…01110001101010000
3102101011110110010222
410012231032031100
533011304012024
62005203412212
7214136002160
oct40655161520
912334413128
104407485264
111961a01a06
12a30084068
13553184060
142db5065a0
151abe1685e
hex106b4e350

4407485264 has 80 divisors (see below), whose sum is σ = 10849305600. Its totient is φ = 1687357440.

The previous prime is 4407485261. The next prime is 4407485267. The reversal of 4407485264 is 4625847044.

It is an interprime number because it is at equal distance from previous prime (4407485261) and next prime (4407485267).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4407485261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3689 + ... + 93960.

It is an arithmetic number, because the mean of its divisors is an integer number (135616320).

Almost surely, 24407485264 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 4407485264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5424652800).

4407485264 is an abundant number, since it is smaller than the sum of its proper divisors (6441820336).

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

4407485264 is a wasteful number, since it uses less digits than its factorization.

4407485264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97708 (or 97702 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 44.

The square root of 4407485264 is about 66388.8941314735. The cubic root of 4407485264 is about 1639.5712323490.

The spelling of 4407485264 in words is "four billion, four hundred seven million, four hundred eighty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 104 112 124 182 208 217 248 364 403 434 496 728 806 868 1456 1612 1736 2821 3224 3472 5642 6448 11284 22568 45136 97649 195298 390596 683543 781192 1269437 1367086 1562384 2538874 2734172 3027119 5077748 5468344 6054238 8886059 10155496 10936688 12108476 17772118 20310992 21189833 24216952 35544236 39352547 42379666 48433904 71088472 78705094 84759332 142176944 157410188 169518664 275467829 314820376 339037328 550935658 629640752 1101871316 2203742632 4407485264