Search a number
-
+
49193144 = 23711136143
BaseRepresentation
bin1011101110101…
…0000010111000
310102120021022022
42323222002320
5100043140034
64514214012
71135064150
oct273520270
9112507268
1049193144
112584a5a0
1214584308
13a265090
146767760
1544bab2e
hex2eea0b8

49193144 has 64 divisors (see below), whose sum is σ = 123863040. Its totient is φ = 17688960.

The previous prime is 49193129. The next prime is 49193227. The reversal of 49193144 is 44139194.

49193144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4937 + ... + 11079.

It is an arithmetic number, because the mean of its divisors is an integer number (1935360).

Almost surely, 249193144 is an apocalyptic number.

49193144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49193144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61931520).

49193144 is an abundant number, since it is smaller than the sum of its proper divisors (74669896).

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

49193144 is a wasteful number, since it uses less digits than its factorization.

49193144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6180 (or 6176 counting only the distinct ones).

The product of its digits is 15552, while the sum is 35.

The square root of 49193144 is about 7013.7824317554. The cubic root of 49193144 is about 366.4107385791.

The spelling of 49193144 in words is "forty-nine million, one hundred ninety-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 6143 8008 12286 24572 43001 49144 67573 79859 86002 135146 159718 172004 270292 319436 344008 473011 540584 559013 638872 878449 946022 1118026 1756898 1892044 2236052 3513796 3784088 4472104 6149143 7027592 12298286 24596572 49193144