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54879390 = 2335439463
BaseRepresentation
bin1101000101011…
…0010010011110
310211021011101000
43101112102132
5103022120030
65240131130
71234316136
oct321262236
9124234330
1054879390
1128a83775
1216466aa6
13b4a6317
147407ac6
154c40860
hex345649e

54879390 has 64 divisors (see below), whose sum is σ = 146995200. Its totient is φ = 14569632.

The previous prime is 54879389. The next prime is 54879401. The reversal of 54879390 is 9397845.

54879390 is a `hidden beast` number, since 548 + 79 + 39 + 0 = 666.

54879390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 118299 + ... + 118761.

It is an arithmetic number, because the mean of its divisors is an integer number (2296800).

Almost surely, 254879390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54879390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73497600).

54879390 is an abundant number, since it is smaller than the sum of its proper divisors (92115810).

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

54879390 is a wasteful number, since it uses less digits than its factorization.

54879390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 54879390 is about 7408.0624997364. The cubic root of 54879390 is about 380.0170583293.

The spelling of 54879390 in words is "fifty-four million, eight hundred seventy-nine thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 439 463 878 926 1317 1389 2195 2315 2634 2778 3951 4167 4390 4630 6585 6945 7902 8334 11853 12501 13170 13890 19755 20835 23706 25002 39510 41670 59265 62505 118530 125010 203257 406514 609771 1016285 1219542 1829313 2032570 3048855 3658626 5487939 6097710 9146565 10975878 18293130 27439695 54879390