Search a number
-
+
4639020152 = 2313712512503
BaseRepresentation
bin1000101001000000…
…11101010001111000
3102222022010122022012
410110200131101320
534000042121102
62044154145052
7222650010044
oct42440352170
912868118265
104639020152
111a70673558
12a95722188
1358c12cb50
14320177024
151c23ee752
hex11481d478

4639020152 has 64 divisors (see below), whose sum is σ = 9540840960. Its totient is φ = 2101680000.

The previous prime is 4639020149. The next prime is 4639020209. The reversal of 4639020152 is 2510209364.

It is a happy number.

It is a super-4 number, since 4×46390201524 (a number of 40 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1852133 + ... + 1854635.

It is an arithmetic number, because the mean of its divisors is an integer number (149075640).

Almost surely, 24639020152 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 4639020152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4770420480).

4639020152 is an abundant number, since it is smaller than the sum of its proper divisors (4901820808).

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

4639020152 is a wasteful number, since it uses less digits than its factorization.

4639020152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 4639020152 is about 68110.3527519862. The cubic root of 4639020152 is about 1667.7927683168.

The spelling of 4639020152 in words is "four billion, six hundred thirty-nine million, twenty thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 71 104 142 251 284 502 568 923 1004 1846 2008 2503 3263 3692 5006 6526 7384 10012 13052 17821 20024 26104 32539 35642 65078 71284 130156 142568 177713 231673 260312 355426 463346 628253 710852 926692 1256506 1421704 1853384 2310269 2513012 4620538 5026024 8167289 9241076 16334578 18482152 32669156 44605963 65338312 89211926 178423852 356847704 579877519 1159755038 2319510076 4639020152