Search a number
-
+
49812126 = 23721313033
BaseRepresentation
bin1011111000000…
…1001010011110
310110201201101120
42332001022132
5100222442001
64535351410
71143252600
oct276011236
9113651346
1049812126
1126132651
1214822566
13a420a40
146889170
15458e236
hex2f8129e

49812126 has 48 divisors (see below), whose sum is σ = 124813584. Its totient is φ = 13136256.

The previous prime is 49812121. The next prime is 49812127. The reversal of 49812126 is 62121894.

49812126 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 (33) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49812121) 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 23 ways as a sum of consecutive naturals, for example, 2695 + ... + 10338.

It is an arithmetic number, because the mean of its divisors is an integer number (2600283).

Almost surely, 249812126 is an apocalyptic number.

49812126 is an abundant number, since it is smaller than the sum of its proper divisors (75001458).

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

49812126 is a wasteful number, since it uses less digits than its factorization.

49812126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13065 (or 13058 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 49812126 is about 7057.7706111774. The cubic root of 49812126 is about 367.9411482368.

It can be divided in two parts, 49 and 812126, that added together give a triangular number (812175 = T1274).

The spelling of 49812126 in words is "forty-nine million, eight hundred twelve thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 546 637 1274 1911 3822 13033 26066 39099 78198 91231 169429 182462 273693 338858 508287 547386 638617 1016574 1186003 1277234 1915851 2372006 3558009 3831702 7116018 8302021 16604042 24906063 49812126