Search a number
-
+
49136256 = 27321317193
BaseRepresentation
bin1011101101110…
…0001010000000
310102110101021100
42323130022000
5100034330011
64513054400
71134436251
oct273341200
9112411240
1049136256
1125810884
1214557400
13a245210
146750b28
1544a8d56
hex2edc280

49136256 has 192 divisors, whose sum is σ = 162063720. Its totient is φ = 14155776.

The previous prime is 49136207. The next prime is 49136267. The reversal of 49136256 is 65263194.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 34574400 + 14561856 = 5880^2 + 3816^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (38880) is a multiple of the sum of its prime factors (243).

It is a self number, because there is not a number n which added to its sum of digits gives 49136256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254496 + ... + 254688.

Almost surely, 249136256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49136256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81031860).

49136256 is an abundant number, since it is smaller than the sum of its proper divisors (112927464).

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

49136256 is a wasteful number, since it uses less digits than its factorization.

49136256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 228 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 49136256 is about 7009.7258148946. The cubic root of 49136256 is about 366.2694423704.

The spelling of 49136256 in words is "forty-nine million, one hundred thirty-six thousand, two hundred fifty-six".