Search a number
-
+
4890841632 = 253240941521
BaseRepresentation
bin1001000111000010…
…00101001000100000
3110121211222111102200
410203201011020200
540004023413012
62125151413200
7232125316335
oct44341051040
913554874380
104890841632
11208a830786
12b45b24200
135cc35c641
143457a898c
151d95933dc
hex123845220

4890841632 has 72 divisors (see below), whose sum is σ = 13942672380. Its totient is φ = 1626255360.

The previous prime is 4890841583. The next prime is 4890841651. The reversal of 4890841632 is 2361480984.

It is a happy number.

4890841632 is a `hidden beast` number, since 4 + 8 + 9 + 0 + 8 + 4 + 1 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3988680336 + 902161296 = 63156^2 + 30036^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97032 + ... + 138552.

Almost surely, 24890841632 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 4890841632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6971336190).

4890841632 is an abundant number, since it is smaller than the sum of its proper divisors (9051830748).

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

4890841632 is a wasteful number, since it uses less digits than its factorization.

4890841632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41946 (or 41935 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4890841632 is about 69934.5524901675. The cubic root of 4890841632 is about 1697.4403962810.

The spelling of 4890841632 in words is "four billion, eight hundred ninety million, eight hundred forty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 409 818 1227 1636 2454 3272 3681 4908 6544 7362 9816 13088 14724 19632 29448 39264 41521 58896 83042 117792 124563 166084 249126 332168 373689 498252 664336 747378 996504 1328672 1494756 1993008 2989512 3986016 5979024 11958048 16982089 33964178 50946267 67928356 101892534 135856712 152838801 203785068 271713424 305677602 407570136 543426848 611355204 815140272 1222710408 1630280544 2445420816 4890841632