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5049408800 = 255259106979
BaseRepresentation
bin1001011001111011…
…11101110100100000
3111000220100112200202
410230331331310200
540320122040200
62153014204332
7236062160312
oct45475756440
914026315622
105049408800
112161294627
12b8b0536a8
1362616ab77
1435c8837b2
151e84661d5
hex12cf7dd20

5049408800 has 72 divisors (see below), whose sum is σ = 12535916400. Its totient is φ = 1985511680.

The previous prime is 5049408787. The next prime is 5049408803. The reversal of 5049408800 is 88049405.

It is not an unprimeable number, because it can be changed into a prime (5049408803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6290 + ... + 100689.

It is an arithmetic number, because the mean of its divisors is an integer number (174109950).

Almost surely, 25049408800 is an apocalyptic number.

5049408800 is a gapful number since it is divisible by the number (50) 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 5049408800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267958200).

5049408800 is an abundant number, since it is smaller than the sum of its proper divisors (7486507600).

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

5049408800 is a wasteful number, since it uses less digits than its factorization.

5049408800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107058 (or 107045 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 5049408800 is about 71059.1922273255. The cubic root of 5049408800 is about 1715.5900187514.

The spelling of 5049408800 in words is "five billion, forty-nine million, four hundred eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 80 100 118 160 200 236 295 400 472 590 800 944 1180 1475 1888 2360 2950 4720 5900 9440 11800 23600 47200 106979 213958 427916 534895 855832 1069790 1711664 2139580 2674475 3423328 4279160 5348950 6311761 8558320 10697900 12623522 17116640 21395800 25247044 31558805 42791600 50494088 63117610 85583200 100988176 126235220 157794025 201976352 252470440 315588050 504940880 631176100 1009881760 1262352200 2524704400 5049408800