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49089768 = 2337213319
BaseRepresentation
bin1011101101000…
…0110011101000
310102101000111120
42323100303220
5100031333033
64512055240
71134153600
oct273206350
9112330446
1049089768
1125789962
1214534520
13a22a000
14673bc00
15449a1b3
hex2ed0ce8

49089768 has 192 divisors, whose sum is σ = 162792000. Its totient is φ = 12265344.

The previous prime is 49089767. The next prime is 49089773. The reversal of 49089768 is 86798094.

It is a happy number.

49089768 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 49089768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49089763) 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 47 ways as a sum of consecutive naturals, for example, 2583663 + ... + 2583681.

It is an arithmetic number, because the mean of its divisors is an integer number (847875).

Almost surely, 249089768 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 49089768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81396000).

49089768 is an abundant number, since it is smaller than the sum of its proper divisors (113702232).

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

49089768 is a wasteful number, since it uses less digits than its factorization.

49089768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 49089768 is about 7006.4090659909. The cubic root of 49089768 is about 366.1538962825.

The spelling of 49089768 in words is "forty-nine million, eighty-nine thousand, seven hundred sixty-eight".