Search a number
-
+
49395880 = 2351724273
BaseRepresentation
bin1011110001101…
…1100010101000
310102221120102001
42330123202220
5100121132010
64522420344
71136600212
oct274334250
9112846361
1049395880
1125978946
12146616b4
13a306441
1467bb5b2
15450ac3a
hex2f1b8a8

49395880 has 48 divisors (see below), whose sum is σ = 118090620. Its totient is φ = 18591744.

The previous prime is 49395821. The next prime is 49395889. The reversal of 49395880 is 8859394.

49395880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 29877156 + 19518724 = 5466^2 + 4418^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 49395880.

It is not an unprimeable number, because it can be changed into a prime (49395889) 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 11 ways as a sum of consecutive naturals, for example, 9424 + ... + 13696.

Almost surely, 249395880 is an apocalyptic number.

49395880 is a gapful number since it is divisible by the number (40) 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 49395880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59045310).

49395880 is an abundant number, since it is smaller than the sum of its proper divisors (68694740).

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

49395880 is a wasteful number, since it uses less digits than its factorization.

49395880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318 (or 4297 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The square root of 49395880 is about 7028.2202583584. The cubic root of 49395880 is about 366.9134023419.

The spelling of 49395880 in words is "forty-nine million, three hundred ninety-five thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1156 1445 2312 2890 4273 5780 8546 11560 17092 21365 34184 42730 72641 85460 145282 170920 290564 363205 581128 726410 1234897 1452820 2469794 2905640 4939588 6174485 9879176 12348970 24697940 49395880