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49810068 = 2232721117151
BaseRepresentation
bin1011111000000…
…0101010010100
310110201121120100
42332000222110
5100222410233
64535334100
71143243600
oct276005224
9113647510
1049810068
1126131050
1214821330
13a41cb19
146888500
15458d813
hex2f80a94

49810068 has 216 divisors, whose sum is σ = 170299584. Its totient is φ = 12096000.

The previous prime is 49810067. The next prime is 49810073. The reversal of 49810068 is 86001894.

It is a happy number.

49810068 is a `hidden beast` number, since 498 + 100 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49810063) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 329793 + ... + 329943.

It is an arithmetic number, because the mean of its divisors is an integer number (788424).

Almost surely, 249810068 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 49810068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85149792).

49810068 is an abundant number, since it is smaller than the sum of its proper divisors (120489516).

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

49810068 is a wasteful number, since it uses less digits than its factorization.

49810068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 49810068 is about 7057.6248129240. The cubic root of 49810068 is about 367.9360809746.

The spelling of 49810068 in words is "forty-nine million, eight hundred ten thousand, sixty-eight".