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49849800 = 233527111383
BaseRepresentation
bin1011111000101…
…0010111001000
310110210122001220
42332022113020
5100230143200
64540242040
71143500460
oct276122710
9113718056
1049849800
1126158990
1214840320
13a434c30
146898ba0
15459a4a0
hex2f8a5c8

49849800 has 384 divisors, whose sum is σ = 209986560. Its totient is φ = 9446400.

The previous prime is 49849769. The next prime is 49849819. The reversal of 49849800 is 894894.

49849800 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 (42).

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 95 ways as a sum of consecutive naturals, for example, 600559 + ... + 600641.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 249849800 is an apocalyptic number.

49849800 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 49849800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280).

49849800 is an abundant number, since it is smaller than the sum of its proper divisors (160136760).

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

49849800 is a wasteful number, since it uses less digits than its factorization.

49849800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 49849800 is about 7060.4390798307. The cubic root of 49849800 is about 368.0338855061.

It can be divided in two parts, 498 and 49800, that multiplied together give a square (24800400 = 49802).

The spelling of 49849800 in words is "forty-nine million, eight hundred forty-nine thousand, eight hundred".