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5508048000 = 27353713297
BaseRepresentation
bin1010010000100111…
…00010010010000000
3112012212100211101210
411020103202102000
542240030014000
62310320330120
7253331430660
oct51023422200
915185324353
105508048000
112377170a94
121098773940
1369a1a0c00
143a37501a0
1522385e350
hex1484e2480

5508048000 has 768 divisors, whose sum is σ = 22829264640. Its totient is φ = 1150156800.

The previous prime is 5508047971. The next prime is 5508048001. The reversal of 5508048000 is 8408055.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5508048001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56783952 + ... + 56784048.

It is an arithmetic number, because the mean of its divisors is an integer number (29725605).

Almost surely, 25508048000 is an apocalyptic number.

5508048000 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 5508048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11414632320).

5508048000 is an abundant number, since it is smaller than the sum of its proper divisors (17321216640).

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

5508048000 is a wasteful number, since it uses less digits than its factorization.

5508048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 5508048000 is about 74216.2246412467. The cubic root of 5508048000 is about 1766.0347251288.

The spelling of 5508048000 in words is "five billion, five hundred eight million, forty-eight thousand".