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49400736 = 25371141163
BaseRepresentation
bin1011110001110…
…0101110100000
310102221211001220
42330130232200
5100121310421
64522455040
71136620320
oct274345640
9112854056
1049400736
1125981560
1214664480
13a308708
1467bd280
15450c3c6
hex2f1cba0

49400736 has 192 divisors, whose sum is σ = 166634496. Its totient is φ = 12441600.

The previous prime is 49400719. The next prime is 49400749. The reversal of 49400736 is 63700494.

49400736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 49400697 and 49400706.

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, 302991 + ... + 303153.

It is an arithmetic number, because the mean of its divisors is an integer number (867888).

Almost surely, 249400736 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 49400736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83317248).

49400736 is an abundant number, since it is smaller than the sum of its proper divisors (117233760).

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

49400736 is a wasteful number, since it uses less digits than its factorization.

49400736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 49400736 is about 7028.5657142834. The cubic root of 49400736 is about 366.9254254303.

The spelling of 49400736 in words is "forty-nine million, four hundred thousand, seven hundred thirty-six".