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5004553200 = 2435229314639
BaseRepresentation
bin1001010100100101…
…10110101111110000
3110220202221122101020
410222102312233300
540222131200300
62144332535440
7235006000053
oct45222665760
913822848336
105004553200
112138a37989
12b78021580
13619a941aa
14356928a9a
151e45558a0
hex12a4b6bf0

5004553200 has 240 divisors, whose sum is σ = 17122713600. Its totient is φ = 1246694400.

The previous prime is 5004553139. The next prime is 5004553207. The reversal of 5004553200 is 23554005.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5004553207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1076481 + ... + 1081119.

It is an arithmetic number, because the mean of its divisors is an integer number (71344640).

Almost surely, 25004553200 is an apocalyptic number.

5004553200 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 5004553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8561356800).

5004553200 is an abundant number, since it is smaller than the sum of its proper divisors (12118160400).

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

5004553200 is a wasteful number, since it uses less digits than its factorization.

5004553200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4720 (or 4709 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 5004553200 is about 70742.8667782131. The cubic root of 5004553200 is about 1710.4948466969.

The spelling of 5004553200 in words is "five billion, four million, five hundred fifty-three thousand, two hundred".