Search a number
-
+
4464693952 = 261721991213
BaseRepresentation
bin1000010100001110…
…11101001011000000
3102112011002221201021
410022013131023000
533120430201302
62015005515224
7215432162305
oct41207351300
912464087637
104464693952
111991226714
12a47272b14
13561c94654
14304d590ac
151b1e67437
hex10a1dd2c0

4464693952 has 84 divisors (see below), whose sum is σ = 9466529200. Its totient is φ = 2088751104.

The previous prime is 4464693931. The next prime is 4464693971. The reversal of 4464693952 is 2593964644.

It is a happy number.

Its product of digits (5598720) is a multiple of the sum of its prime factors (1458).

It is a self number, because there is not a number n which added to its sum of digits gives 4464693952.

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 11 ways as a sum of consecutive naturals, for example, 3680098 + ... + 3681310.

Almost surely, 24464693952 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 4464693952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4733264600).

4464693952 is an abundant number, since it is smaller than the sum of its proper divisors (5001835248).

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

4464693952 is a wasteful number, since it uses less digits than its factorization.

4464693952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1431 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 52.

The square root of 4464693952 is about 66818.3653795871. The cubic root of 4464693952 is about 1646.6345792637.

The spelling of 4464693952 in words is "four billion, four hundred sixty-four million, six hundred ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 199 272 289 398 544 578 796 1088 1156 1213 1592 2312 2426 3184 3383 4624 4852 6368 6766 9248 9704 12736 13532 18496 19408 20621 27064 38816 41242 54128 57511 77632 82484 108256 115022 164968 216512 230044 241387 329936 350557 460088 482774 659872 701114 920176 965548 1319744 1402228 1840352 1931096 2804456 3680704 3862192 4103579 5608912 7724384 8207158 11217824 15448768 16414316 22435648 32828632 65657264 69760843 131314528 139521686 262629056 279043372 558086744 1116173488 2232346976 4464693952