Search a number
-
+
49999968 = 25321391249
BaseRepresentation
bin1011111010111…
…1000001100000
310111002021001200
42332233001200
5100244444333
64543401200
71144664334
oct276570140
9114067050
1049999968
1126250797
12148b3200
13a4883a5
1468d77c4
1545c9c13
hex2faf060

49999968 has 72 divisors (see below), whose sum is σ = 143325000. Its totient is φ = 16533504.

The previous prime is 49999921. The next prime is 49999991. The reversal of 49999968 is 86999994.

49999968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 39408 + ... + 40656.

It is an arithmetic number, because the mean of its divisors is an integer number (1990625).

Almost surely, 249999968 is an apocalyptic number.

49999968 is a gapful number since it is divisible by the number (48) 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 49999968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71662500).

49999968 is an abundant number, since it is smaller than the sum of its proper divisors (93325032).

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

49999968 is a wasteful number, since it uses less digits than its factorization.

49999968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1393 counting only the distinct ones).

The product of its digits is 11337408, while the sum is 63.

The square root of 49999968 is about 7071.0655491234. The cubic root of 49999968 is about 368.4030712713.

The spelling of 49999968 in words is "forty-nine million, nine hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 139 144 278 288 417 556 834 1112 1249 1251 1668 2224 2498 2502 3336 3747 4448 4996 5004 6672 7494 9992 10008 11241 13344 14988 19984 20016 22482 29976 39968 40032 44964 59952 89928 119904 173611 179856 347222 359712 520833 694444 1041666 1388888 1562499 2083332 2777776 3124998 4166664 5555552 6249996 8333328 12499992 16666656 24999984 49999968