Search a number
-
+
546133350 = 235271074861
BaseRepresentation
bin100000100011010…
…101010101100110
31102001122110010010
4200203111111212
52104302231400
6130105311050
716351025340
oct4043252546
91361573103
10546133350
11260307084
12132a95486
13891b8539
1452764290
1532e2c450
hex208d5566

546133350 has 96 divisors (see below), whose sum is σ = 1562685696. Its totient is φ = 123638400.

The previous prime is 546133339. The next prime is 546133351. The reversal of 546133350 is 53331645.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (546133351) 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 47 ways as a sum of consecutive naturals, for example, 109920 + ... + 114780.

It is an arithmetic number, because the mean of its divisors is an integer number (16277976).

Almost surely, 2546133350 is an apocalyptic number.

546133350 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 546133350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781342848).

546133350 is an abundant number, since it is smaller than the sum of its proper divisors (1016552346).

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

546133350 is a wasteful number, since it uses less digits than its factorization.

546133350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990 (or 4985 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 546133350 is about 23369.4961434773. The cubic root of 546133350 is about 817.3967362014.

Adding to 546133350 its reverse (53331645), we get a palindrome (599464995).

The spelling of 546133350 in words is "five hundred forty-six million, one hundred thirty-three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 107 150 175 210 214 321 350 525 535 642 749 1050 1070 1498 1605 2247 2675 3210 3745 4494 4861 5350 7490 8025 9722 11235 14583 16050 18725 22470 24305 29166 34027 37450 48610 56175 68054 72915 102081 112350 121525 145830 170135 204162 243050 340270 364575 510405 520127 729150 850675 1020810 1040254 1560381 1701350 2552025 2600635 3120762 3640889 5104050 5201270 7281778 7801905 10922667 13003175 15603810 18204445 21845334 26006350 36408890 39009525 54613335 78019050 91022225 109226670 182044450 273066675 546133350