Search a number
-
+
54482652 = 22337193793
BaseRepresentation
bin1100111111010…
…1011011011100
310210112000011000
43033311123130
5102421421102
65223430300
71231044360
oct317653334
9123460130
1054482652
1128832694
12162b5390
13b397873
1473432a0
154bb301c
hex33f56dc

54482652 has 96 divisors (see below), whose sum is σ = 169971200. Its totient is φ = 14743296.

The previous prime is 54482651. The next prime is 54482657. The reversal of 54482652 is 25628445.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54482651) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12468 + ... + 16260.

Almost surely, 254482652 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 54482652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84985600).

54482652 is an abundant number, since it is smaller than the sum of its proper divisors (115488548).

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

54482652 is a wasteful number, since it uses less digits than its factorization.

54482652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3832 (or 3824 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 54482652 is about 7381.2364817827. The cubic root of 54482652 is about 379.0990938849.

It can be divided in two parts, 5448 and 2652, that added together give a square (8100 = 902).

The spelling of 54482652 in words is "fifty-four million, four hundred eighty-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 378 399 513 532 684 756 798 1026 1197 1596 2052 2394 3591 3793 4788 7182 7586 11379 14364 15172 22758 26551 34137 45516 53102 68274 72067 79653 102411 106204 136548 144134 159306 204822 216201 238959 288268 318612 409644 432402 477918 504469 648603 716877 864804 955836 1008938 1297206 1433754 1513407 1945809 2017876 2594412 2867508 3026814 3891618 4540221 6053628 7783236 9080442 13620663 18160884 27241326 54482652