Search a number
-
+
49969248 = 2537235361
BaseRepresentation
bin1011111010011…
…1100001100000
310111000200220220
42332213201200
5100243003443
64543003040
71144505640
oct276474140
9114020826
1049969248
112622a6aa
1214899480
13a477404
1468ca520
1545c0a83
hex2fa7860

49969248 has 192 divisors, whose sum is σ = 161989632. Its totient is φ = 13178880.

The previous prime is 49969223. The next prime is 49969267. The reversal of 49969248 is 84296994.

It is a happy number.

49969248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 49969248.

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 31 ways as a sum of consecutive naturals, for example, 819138 + ... + 819198.

It is an arithmetic number, because the mean of its divisors is an integer number (843696).

Almost surely, 249969248 is an apocalyptic number.

49969248 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 49969248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80994816).

49969248 is an abundant number, since it is smaller than the sum of its proper divisors (112020384).

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

49969248 is a wasteful number, since it uses less digits than its factorization.

49969248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 49969248 is about 7068.8929826388. The cubic root of 49969248 is about 368.3276068168.

The spelling of 49969248 in words is "forty-nine million, nine hundred sixty-nine thousand, two hundred forty-eight".