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5033952000 = 283253711227
BaseRepresentation
bin1001011000000110…
…00000001100000000
3110222211021020221200
410230003000030000
540302142431000
62151303021200
7235513612620
oct45403001400
913884236850
105033952000
112153597710
12b85a3a800
13622bb862c
1435a7bc880
151e6e11500
hex12c0c0300

5033952000 has 864 divisors, whose sum is σ = 22682709504. Its totient is φ = 1041408000.

The previous prime is 5033951999. The next prime is 5033952013. The reversal of 5033952000 is 2593305.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22175887 + ... + 22176113.

It is an arithmetic number, because the mean of its divisors is an integer number (26253136).

Almost surely, 25033952000 is an apocalyptic number.

5033952000 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 5033952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11341354752).

5033952000 is an abundant number, since it is smaller than the sum of its proper divisors (17648757504).

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

5033952000 is a wasteful number, since it uses less digits than its factorization.

5033952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 5033952000 is about 70950.3488363517. The cubic root of 5033952000 is about 1713.8376924453.

The spelling of 5033952000 in words is "five billion, thirty-three million, nine hundred fifty-two thousand".