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5472115200 = 29325247501
BaseRepresentation
bin1010001100010100…
…11101101000000000
3112010100202020212100
411012022131220000
542201330141300
62302554230400
7252414132426
oct50612355000
915110666770
105472115200
112358959162
121088725400
136928cc6b6
1439ca79116
15220612700
hex14629da00

5472115200 has 180 divisors, whose sum is σ = 19583602038. Its totient is φ = 1459200000.

The previous prime is 5472115171. The next prime is 5472115237. The reversal of 5472115200 is 25112745.

5472115200 is a `hidden beast` number, since 547 + 2 + 115 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4267747584 + 1204367616 = 65328^2 + 34704^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 91450 + ... + 138950.

Almost surely, 25472115200 is an apocalyptic number.

5472115200 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 5472115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9791801019).

5472115200 is an abundant number, since it is smaller than the sum of its proper divisors (14111486838).

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

5472115200 is a wasteful number, since it uses less digits than its factorization.

5472115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47535 (or 47511 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 5472115200 is about 73973.7466943510. The cubic root of 5472115200 is about 1762.1859890260.

Adding to 5472115200 its reverse (25112745), we get a palindrome (5497227945).

The spelling of 5472115200 in words is "five billion, four hundred seventy-two million, one hundred fifteen thousand, two hundred".