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54306876 = 223133371033
BaseRepresentation
bin1100111100101…
…0100000111100
310210012002000210
43033022200330
5102400310001
65215552420
71226413041
oct317124074
9123162023
1054306876
1128722618
121622b710
13b335860
1472d91c8
154b7add6
hex33ca83c

54306876 has 48 divisors (see below), whose sum is σ = 137000864. Its totient is φ = 16644096.

The previous prime is 54306869. The next prime is 54306877. The reversal of 54306876 is 67860345.

54306876 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 (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54306877) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 52056 + ... + 53088.

Almost surely, 254306876 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 54306876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68500432).

54306876 is an abundant number, since it is smaller than the sum of its proper divisors (82693988).

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

54306876 is a wasteful number, since it uses less digits than its factorization.

54306876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 54306876 is about 7369.3199143476. The cubic root of 54306876 is about 378.6909620534.

The spelling of 54306876 in words is "fifty-four million, three hundred six thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 337 674 1011 1033 1348 2022 2066 3099 4044 4132 4381 6198 8762 12396 13143 13429 17524 26286 26858 40287 52572 53716 80574 161148 348121 696242 1044363 1392484 2088726 4177452 4525573 9051146 13576719 18102292 27153438 54306876