Search a number
-
+
3696883204 = 22724321012
BaseRepresentation
bin1101110001011001…
…1111011000000100
3100112122100010101011
43130112133120010
530032400230304
61410501012004
7160416663100
oct33426373004
910478303334
103696883204
111627881083
128720b4004
1346bba2071
14270dac900
1516984cc04
hexdc59f604

3696883204 has 81 divisors (see below), whose sum is σ = 7781928021. Its totient is φ = 1532210400.

The previous prime is 3696883193. The next prime is 3696883237. The reversal of 3696883204 is 4023886963.

It is a happy number.

The square root of 3696883204 is 60802.

It is a perfect power (a square), and thus also a powerful number.

3696883204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3551921604 + 144961600 = 59598^2 + 12040^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36602754 + ... + 36602854.

Almost surely, 23696883204 is an apocalyptic number.

3696883204 is the 60802-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3696883204

3696883204 is an abundant number, since it is smaller than the sum of its proper divisors (4085044817).

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

3696883204 is a wasteful number, since it uses less digits than its factorization.

3696883204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

The cubic root of 3696883204 is about 1546.2459556235.

Multiplying 3696883204 by its sum of digits (49), we get a square (181147276996 = 4256142).

3696883204 divided by its sum of digits (49) gives a square (75446596 = 86862).

The spelling of 3696883204 in words is "three billion, six hundred ninety-six million, eight hundred eighty-three thousand, two hundred four".

Divisors: 1 2 4 7 14 28 43 49 86 98 101 172 196 202 301 404 602 707 1204 1414 1849 2107 2828 3698 4214 4343 4949 7396 8428 8686 9898 10201 12943 17372 19796 20402 25886 30401 40804 51772 60802 71407 90601 121604 142814 181202 186749 212807 285628 362404 373498 425614 438643 499849 746996 851228 877286 999698 1307243 1754572 1999396 2614486 3070501 5228972 6141002 9150701 12282004 18301402 18861649 21493507 36602804 37723298 42987014 75446596 85974028 132031543 264063086 528126172 924220801 1848441602 3696883204