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49969920 = 2835711132
BaseRepresentation
bin1011111010011…
…1101100000000
310111000201211210
42332213230000
5100243014140
64543010120
71144510620
oct276475400
9114021753
1049969920
1126230160
1214899940
13a477800
1468ca880
1545c0d80
hex2fa7b00

49969920 has 432 divisors, whose sum is σ = 215453952. Its totient is φ = 9584640.

The previous prime is 49969903. The next prime is 49969951. The reversal of 49969920 is 2996994.

49969920 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 49969920.

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 47 ways as a sum of consecutive naturals, for example, 3843834 + ... + 3843846.

It is an arithmetic number, because the mean of its divisors is an integer number (498736).

Almost surely, 249969920 is an apocalyptic number.

49969920 is a gapful number since it is divisible by the number (40) 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 49969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107726976).

49969920 is an abundant number, since it is smaller than the sum of its proper divisors (165484032).

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

49969920 is a wasteful number, since it uses less digits than its factorization.

49969920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 48.

The square root of 49969920 is about 7068.9405146740. The cubic root of 49969920 is about 368.3292579326.

It can be divided in two parts, 49 and 969920, that added together give a palindrome (969969).

The spelling of 49969920 in words is "forty-nine million, nine hundred sixty-nine thousand, nine hundred twenty".