Search a number
-
+
4672132848 = 2432177126881
BaseRepresentation
bin1000101100111101…
…10001011011110000
3110001121102221101100
410112132301123300
534032031222343
62051340004400
7223531321365
oct42636613360
913047387340
104672132848
111a8832a619
12aa4830700
13595c54866
1432471646c
151c52909d3
hex1167b16f0

4672132848 has 120 divisors (see below), whose sum is σ = 14040146016. Its totient is φ = 1445068800.

The previous prime is 4672132823. The next prime is 4672132859. The reversal of 4672132848 is 8482312764.

It is a happy number.

It is a super-2 number, since 2×46721328482 = 43657650698721182208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160368 + ... + 187248.

Almost surely, 24672132848 is an apocalyptic number.

4672132848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4672132848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7020073008).

4672132848 is an abundant number, since it is smaller than the sum of its proper divisors (9368013168).

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

4672132848 is a wasteful number, since it uses less digits than its factorization.

4672132848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26983 (or 26974 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 4672132848 is about 68353.0017482773. The cubic root of 4672132848 is about 1671.7515236321.

The spelling of 4672132848 in words is "four billion, six hundred seventy-two million, one hundred thirty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 71 72 102 136 142 144 153 204 213 272 284 306 408 426 568 612 639 816 852 1136 1207 1224 1278 1704 2414 2448 2556 3408 3621 4828 5112 7242 9656 10224 10863 14484 19312 21726 26881 28968 43452 53762 57936 80643 86904 107524 161286 173808 215048 241929 322572 430096 456977 483858 645144 913954 967716 1290288 1370931 1827908 1908551 1935432 2741862 3655816 3817102 3870864 4112793 5483724 5725653 7311632 7634204 8225586 10967448 11451306 15268408 16451172 17176959 21934896 22902612 30536816 32445367 32902344 34353918 45805224 64890734 65804688 68707836 91610448 97336101 129781468 137415672 194672202 259562936 274831344 292008303 389344404 519125872 584016606 778688808 1168033212 1557377616 2336066424 4672132848