Search a number
-
+
54306936 = 2334431949
BaseRepresentation
bin1100111100101…
…0100001111000
310210012002010000
43033022201320
5102400310221
65215553000
71226413155
oct317124170
9123162100
1054306936
1128722672
121622b760
13b3358a8
1472d922c
154b7ae26
hex33ca878

54306936 has 80 divisors (see below), whose sum is σ = 155727000. Its totient is φ = 17672256.

The previous prime is 54306929. The next prime is 54306953. The reversal of 54306936 is 63960345.

54306936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54306936.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26890 + ... + 28838.

Almost surely, 254306936 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 54306936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77863500).

54306936 is an abundant number, since it is smaller than the sum of its proper divisors (101420064).

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

54306936 is a wasteful number, since it uses less digits than its factorization.

54306936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 54306936 is about 7369.3239852784. The cubic root of 54306936 is about 378.6911015167.

The spelling of 54306936 in words is "fifty-four million, three hundred six thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 108 129 162 172 216 258 324 344 387 516 648 774 1032 1161 1548 1949 2322 3096 3483 3898 4644 5847 6966 7796 9288 11694 13932 15592 17541 23388 27864 35082 46776 52623 70164 83807 105246 140328 157869 167614 210492 251421 315738 335228 420984 502842 631476 670456 754263 1005684 1262952 1508526 2011368 2262789 3017052 4525578 6034104 6788367 9051156 13576734 18102312 27153468 54306936