Search a number
-
+
54290672 = 2423314759
BaseRepresentation
bin1100111100011…
…0100011110000
310210011020210122
43033012203300
5102344300142
65215345412
71226314562
oct317064360
9123136718
1054290672
1128711427
1216222268
13b32b377
1472d3332
154b761d2
hex33c68f0

54290672 has 40 divisors (see below), whose sum is σ = 113326080. Its totient is φ = 25122240.

The previous prime is 54290669. The next prime is 54290689. The reversal of 54290672 is 27609245.

54290672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×542906723 (a number of 24 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 9029 + ... + 13787.

It is an arithmetic number, because the mean of its divisors is an integer number (2833152).

Almost surely, 254290672 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 54290672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56663040).

54290672 is an abundant number, since it is smaller than the sum of its proper divisors (59035408).

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

54290672 is a wasteful number, since it uses less digits than its factorization.

54290672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4821 (or 4815 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 54290672 is about 7368.2204092983. The cubic root of 54290672 is about 378.6532939028.

The spelling of 54290672 in words is "fifty-four million, two hundred ninety thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 23 31 46 62 92 124 184 248 368 496 713 1426 2852 4759 5704 9518 11408 19036 38072 76144 109457 147529 218914 295058 437828 590116 875656 1180232 1751312 2360464 3393167 6786334 13572668 27145336 54290672