Search a number
-
+
55083732 = 22311616841
BaseRepresentation
bin1101001000100…
…0001011010100
310211122112200020
43102020023110
5103100134412
65244345140
71236126654
oct322101324
9124575606
1055083732
1129103250
12165451b0
13b548332
14745c364
154c8118c
hex34882d4

55083732 has 48 divisors (see below), whose sum is σ = 142532544. Its totient is φ = 16416000.

The previous prime is 55083709. The next prime is 55083733. The reversal of 55083732 is 23738055.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 55083693 and 55083702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55083733) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4632 + ... + 11472.

It is an arithmetic number, because the mean of its divisors is an integer number (2969428).

Almost surely, 255083732 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 55083732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71266272).

55083732 is an abundant number, since it is smaller than the sum of its proper divisors (87448812).

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

55083732 is a wasteful number, since it uses less digits than its factorization.

55083732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6920 (or 6918 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 55083732 is about 7421.8415504509. The cubic root of 55083732 is about 380.4881353852.

The spelling of 55083732 in words is "fifty-five million, eighty-three thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 122 132 183 244 366 671 732 1342 2013 2684 4026 6841 8052 13682 20523 27364 41046 75251 82092 150502 225753 301004 417301 451506 834602 903012 1251903 1669204 2503806 4590311 5007612 9180622 13770933 18361244 27541866 55083732