Search a number
-
+
55732212 = 2234374649
BaseRepresentation
bin1101010010011…
…0011111110100
310212212111020000
43110212133310
5103231412322
65310311300
71244500404
oct324463764
9125774200
1055732212
1129506488
12167b8530
13b714553
14758a804
154d5d3ac
hex35267f4

55732212 has 60 divisors (see below), whose sum is σ = 149664900. Its totient is φ = 18071424.

The previous prime is 55732211. The next prime is 55732213. The reversal of 55732212 is 21223755.

It is an interprime number because it is at equal distance from previous prime (55732211) and next prime (55732213).

It can be written as a sum of positive squares in 2 ways, for example, as 52620516 + 3111696 = 7254^2 + 1764^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55732211) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9664 + ... + 14312.

It is an arithmetic number, because the mean of its divisors is an integer number (2494415).

Almost surely, 255732212 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 55732212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74832450).

55732212 is an abundant number, since it is smaller than the sum of its proper divisors (93932688).

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

55732212 is a wasteful number, since it uses less digits than its factorization.

55732212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702 (or 4691 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 55732212 is about 7465.4009939185. The cubic root of 55732212 is about 381.9754285521.

Adding to 55732212 its reverse (21223755), we get a palindrome (76955967).

The spelling of 55732212 in words is "fifty-five million, seven hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3996 4649 5994 9298 11988 13947 18596 27894 41841 55788 83682 125523 167364 172013 251046 344026 376569 502092 516039 688052 753138 1032078 1506276 1548117 2064156 3096234 4644351 6192468 9288702 13933053 18577404 27866106 55732212