Search a number
-
+
49023135 = 3257198191
BaseRepresentation
bin1011101100000…
…0100010011111
310102020122002200
42323000202133
5100022220020
64510422543
71133455410
oct273004237
9112218080
1049023135
1125743897
1214501a53
13a205895
146721807
154485590
hex2ec089f

49023135 has 48 divisors (see below), whose sum is σ = 102236160. Its totient is φ = 21228480.

The previous prime is 49023133. The next prime is 49023179. The reversal of 49023135 is 53132094.

49023135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 49023135 - 21 = 49023133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 49023099 and 49023108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49023133) 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, 1890 + ... + 10080.

It is an arithmetic number, because the mean of its divisors is an integer number (2129920).

Almost surely, 249023135 is an apocalyptic number.

49023135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

49023135 is an abundant number, since it is smaller than the sum of its proper divisors (53213025).

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

49023135 is a wasteful number, since it uses less digits than its factorization.

49023135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8228 (or 8225 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 49023135 is about 7001.6523049920. The cubic root of 49023135 is about 365.9881524428.

The spelling of 49023135 in words is "forty-nine million, twenty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1995 5985 8191 24573 40955 57337 73719 122865 155629 172011 286685 368595 466887 516033 778145 860055 1089403 1400661 2334435 2580165 3268209 5447015 7003305 9804627 16341045 49023135