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5383989600 = 25352111091871
BaseRepresentation
bin1010000001110100…
…10010100101100000
3111220012221000021020
411000322102211200
542011300131400
62250125325440
7250264104453
oct50072224540
914805830236
105383989600
112313138090
121063106880
1367a585982
1439109949a
15217a062a0
hex140e92960

5383989600 has 288 divisors, whose sum is σ = 19303764480. Its totient is φ = 1292544000.

The previous prime is 5383989581. The next prime is 5383989601. The reversal of 5383989600 is 69893835.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5383989601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2876665 + ... + 2878535.

It is an arithmetic number, because the mean of its divisors is an integer number (67026960).

Almost surely, 25383989600 is an apocalyptic number.

5383989600 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 5383989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9651882240).

5383989600 is an abundant number, since it is smaller than the sum of its proper divisors (13919774880).

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

5383989600 is a wasteful number, since it uses less digits than its factorization.

5383989600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The square root of 5383989600 is about 73375.6744432377. The cubic root of 5383989600 is about 1752.6750489742.

The spelling of 5383989600 in words is "five billion, three hundred eighty-three million, nine hundred eighty-nine thousand, six hundred".