Search a number
-
+
55838037 = 3314313963
BaseRepresentation
bin1101010100000…
…0010101010101
310220001212101110
43111000111111
5103243304122
65312445233
71245421053
oct325002525
9126055343
1055838037
1129578a42
1216849819
13b750778
1475b71d3
154d7e90c
hex3540555

55838037 has 16 divisors (see below), whose sum is σ = 78645248. Its totient is φ = 35184240.

The previous prime is 55838011. The next prime is 55838039. The reversal of 55838037 is 73083855.

It is not a de Polignac number, because 55838037 - 28 = 55837781 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 55837986 and 55838004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55838039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2983 + ... + 10980.

It is an arithmetic number, because the mean of its divisors is an integer number (4915328).

Almost surely, 255838037 is an apocalyptic number.

It is an amenable number.

55838037 is a deficient number, since it is larger than the sum of its proper divisors (22807211).

55838037 is a wasteful number, since it uses less digits than its factorization.

55838037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14040.

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 55838037 is about 7472.4853295273. The cubic root of 55838037 is about 382.2170422155.

The spelling of 55838037 in words is "fifty-five million, eight hundred thirty-eight thousand, thirty-seven".

Divisors: 1 3 31 43 93 129 1333 3999 13963 41889 432853 600409 1298559 1801227 18612679 55838037