Search a number
-
+
49983750 = 233541481
BaseRepresentation
bin1011111010101…
…1000100000110
310111001102211000
42332223010012
5100243440000
64543154130
71144566135
oct276530406
9114042730
1049983750
112623a593
12148a5946
13a480bab
1468d191c
1545c5000
hex2fab106

49983750 has 80 divisors (see below), whose sum is σ = 138893040. Its totient is φ = 13320000.

The previous prime is 49983727. The next prime is 49983763. The reversal of 49983750 is 5738994.

49983750 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 49983696 and 49983705.

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 39 ways as a sum of consecutive naturals, for example, 33010 + ... + 34490.

It is an arithmetic number, because the mean of its divisors is an integer number (1736163).

Almost surely, 249983750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49983750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69446520).

49983750 is an abundant number, since it is smaller than the sum of its proper divisors (88909290).

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

49983750 is a wasteful number, since it uses less digits than its factorization.

49983750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 49983750 is about 7069.9186699707. The cubic root of 49983750 is about 368.3632351984.

The spelling of 49983750 in words is "forty-nine million, nine hundred eighty-three thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 125 135 150 225 250 270 375 450 625 675 750 1125 1250 1350 1481 1875 2250 2962 3375 3750 4443 5625 6750 7405 8886 11250 13329 14810 16875 22215 26658 33750 37025 39987 44430 66645 74050 79974 111075 133290 185125 199935 222150 333225 370250 399870 555375 666450 925625 999675 1110750 1666125 1851250 1999350 2776875 3332250 4998375 5553750 8330625 9996750 16661250 24991875 49983750