Search a number
-
+
49031664 = 2431192863
BaseRepresentation
bin1011101100001…
…0100111110000
310102021001210120
42323002213300
5100023003124
64510530240
71133522313
oct273024760
9112231716
1049031664
112574a240
1214506980
13a209726
14672497a
154487d79
hex2ec29f0

49031664 has 40 divisors (see below), whose sum is σ = 138181632. Its totient is φ = 14857920.

The previous prime is 49031651. The next prime is 49031681. The reversal of 49031664 is 46613094.

49031664 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 (33).

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 7 ways as a sum of consecutive naturals, for example, 45904 + ... + 46959.

Almost surely, 249031664 is an apocalyptic number.

49031664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

49031664 is an abundant number, since it is smaller than the sum of its proper divisors (89149968).

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

49031664 is a wasteful number, since it uses less digits than its factorization.

49031664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92885 (or 92879 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 49031664 is about 7002.2613490215. The cubic root of 49031664 is about 366.0093759729.

The spelling of 49031664 in words is "forty-nine million, thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 92863 185726 278589 371452 557178 742904 1021493 1114356 1485808 2042986 2228712 3064479 4085972 4457424 6128958 8171944 12257916 16343888 24515832 49031664