[go: up one dir, main page]

Search a number
-
+
49955994 = 23311372273
BaseRepresentation
bin1011111010010…
…0010010011010
310111000000202000
42332210102122
5100242042434
64542421430
71144422204
oct276442232
9114000660
1049955994
1126220750
1214891876
13a47137a
1468c5774
1545bbb99
hex2fa449a

49955994 has 64 divisors (see below), whose sum is σ = 124433280. Its totient is φ = 14722560.

The previous prime is 49955993. The next prime is 49956029.

49955994 is a `hidden beast` number, since 49 + 9 + 5 + 599 + 4 = 666.

49955994 is nontrivially palindromic in base 10.

49955994 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 49955994.

It is not an unprimeable number, because it can be changed into a prime (49955993) 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 31 ways as a sum of consecutive naturals, for example, 20842 + ... + 23114.

It is an arithmetic number, because the mean of its divisors is an integer number (1944270).

Almost surely, 249955994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49955994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62216640).

49955994 is an abundant number, since it is smaller than the sum of its proper divisors (74477286).

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

49955994 is a wasteful number, since it uses less digits than its factorization.

49955994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2326 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 54.

The square root of 49955994 is about 7067.9554327967. The cubic root of 49955994 is about 368.2950384807.

The spelling of 49955994 in words is "forty-nine million, nine hundred fifty-five thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 66 74 99 111 198 222 297 333 407 594 666 814 999 1221 1998 2273 2442 3663 4546 6819 7326 10989 13638 20457 21978 25003 40914 50006 61371 75009 84101 122742 150018 168202 225027 252303 450054 504606 675081 756909 925111 1350162 1513818 1850222 2270727 2775333 4541454 5550666 8325999 16651998 24977997 49955994