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5026249800 = 233352111323283
BaseRepresentation
bin1001010111001011…
…00111110001001000
3110222021202221112000
410223211213301020
540243204443200
62150425551000
7235361263335
oct45345476110
913867687460
105026249800
11214a206960
12b83345460
1362141c910
1435977598c
151e63de300
hex12b967c48

5026249800 has 768 divisors, whose sum is σ = 21298636800. Its totient is φ = 1072051200.

The previous prime is 5026249783. The next prime is 5026249843. The reversal of 5026249800 is 89426205.

It is a happy number.

5026249800 is a `hidden beast` number, since 502 + 62 + 4 + 98 + 0 + 0 = 666.

It is a super-3 number, since 3×50262498003 (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17760459 + ... + 17760741.

It is an arithmetic number, because the mean of its divisors is an integer number (27732600).

Almost surely, 25026249800 is an apocalyptic number.

5026249800 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 5026249800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10649318400).

5026249800 is an abundant number, since it is smaller than the sum of its proper divisors (16272387000).

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

5026249800 is a wasteful number, since it uses less digits than its factorization.

5026249800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5026249800 is about 70896.0492552300. The cubic root of 5026249800 is about 1712.9631602826.

The spelling of 5026249800 in words is "five billion, twenty-six million, two hundred forty-nine thousand, eight hundred".