Search a number
-
+
486636052 = 2273412211
BaseRepresentation
bin11101000000010…
…111101000010100
31020220200200011111
4131000113220110
51444034323202
6120142144404
715026224000
oct3500275024
91226620144
10486636052
1122a769961
12116b82104
1379a86336
14488b7700
152cac86d7
hex1d017a14

486636052 has 72 divisors (see below), whose sum is σ = 1022772800. Its totient is φ = 202507200.

The previous prime is 486636043. The next prime is 486636053. The reversal of 486636052 is 250636684.

It is a happy number.

It is a super-2 number, since 2×4866360522 = 473629294212293408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 486635996 and 486636014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486636053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2306227 + ... + 2306437.

Almost surely, 2486636052 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 486636052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511386400).

486636052 is an abundant number, since it is smaller than the sum of its proper divisors (536136748).

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

486636052 is a wasteful number, since it uses less digits than its factorization.

486636052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 486636052 is about 22059.8289204608. The cubic root of 486636052 is about 786.5652580028.

The spelling of 486636052 in words is "four hundred eighty-six million, six hundred thirty-six thousand, fifty-two".

Divisors: 1 2 4 7 14 28 41 49 82 98 164 196 211 287 343 422 574 686 844 1148 1372 1477 1681 2009 2954 3362 4018 5908 6724 8036 8651 10339 11767 14063 17302 20678 23534 28126 34604 41356 47068 56252 60557 72373 82369 121114 144746 164738 242228 289492 329476 354691 423899 576583 709382 847798 1153166 1418764 1695596 2306332 2482837 2967293 4965674 5934586 9931348 11869172 17379859 34759718 69519436 121659013 243318026 486636052