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5250432000 = 210353112113
BaseRepresentation
bin1001110001111001…
…10011110000000000
3111112220121120200110
410320330303300000
541223102311000
62224554551320
7244052635632
oct47074636000
914486546613
105250432000
112254806300
121026438540
136589c2ac8
1437b450a52
1520ae23850
hex138f33c00

5250432000 has 528 divisors, whose sum is σ = 19366847136. Its totient is φ = 1261568000.

The previous prime is 5250431999. The next prime is 5250432059. The reversal of 5250432000 is 2340525.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46463944 + ... + 46464056.

Almost surely, 25250432000 is an apocalyptic number.

5250432000 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 5250432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9683423568).

5250432000 is an abundant number, since it is smaller than the sum of its proper divisors (14116415136).

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

5250432000 is a wasteful number, since it uses less digits than its factorization.

5250432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 5250432000 is about 72459.8647528409. The cubic root of 5250432000 is about 1738.0609923583.

Adding to 5250432000 its reverse (2340525), we get a palindrome (5252772525).

The spelling of 5250432000 in words is "five billion, two hundred fifty million, four hundred thirty-two thousand".