Search a number
-
+
54906750 = 23253231061
BaseRepresentation
bin1101000101110…
…0111101111110
310211022112220100
43101130331332
5103024004000
65240501530
71234461663
oct321347576
9124275810
1054906750
1128aa2288
121647a8a6
13b4b5902
147413a6a
154c48a00
hex345cf7e

54906750 has 96 divisors (see below), whose sum is σ = 155068992. Its totient is φ = 13992000.

The previous prime is 54906737. The next prime is 54906767. The reversal of 54906750 is 5760945.

54906750 is a `hidden beast` number, since 549 + 0 + 67 + 50 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51220 + ... + 52280.

It is an arithmetic number, because the mean of its divisors is an integer number (1615302).

Almost surely, 254906750 is an apocalyptic number.

54906750 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54906750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77534496).

54906750 is an abundant number, since it is smaller than the sum of its proper divisors (100162242).

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

54906750 is a wasteful number, since it uses less digits than its factorization.

54906750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 54906750 is about 7409.9089063227. The cubic root of 54906750 is about 380.0802000622.

The spelling of 54906750 in words is "fifty-four million, nine hundred six thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 125 138 150 207 225 230 250 345 375 414 450 575 690 750 1035 1061 1125 1150 1725 2070 2122 2250 2875 3183 3450 5175 5305 5750 6366 8625 9549 10350 10610 15915 17250 19098 24403 25875 26525 31830 47745 48806 51750 53050 73209 79575 95490 122015 132625 146418 159150 219627 238725 244030 265250 366045 397875 439254 477450 610075 732090 795750 1098135 1193625 1220150 1830225 2196270 2387250 3050375 3660450 5490675 6100750 9151125 10981350 18302250 27453375 54906750