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5472398400 = 263527253439
BaseRepresentation
bin1010001100010111…
…00010110001000000
3112010101021122100020
411012023202301000
542201413222100
62303004253440
7252416422200
oct50613426100
915111248306
105472398400
112359031a07
121088841280
1369299b581
1439cb10400
1522066b5a0
hex1462e2c40

5472398400 has 504 divisors, whose sum is σ = 21327831360. Its totient is φ = 1224437760.

The previous prime is 5472398341. The next prime is 5472398401. The reversal of 5472398400 is 48932745.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5472398401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12465381 + ... + 12465819.

Almost surely, 25472398400 is an apocalyptic number.

5472398400 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 5472398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10663915680).

5472398400 is an abundant number, since it is smaller than the sum of its proper divisors (15855432960).

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

5472398400 is a wasteful number, since it uses less digits than its factorization.

5472398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 5472398400 is about 73975.6608622052. The cubic root of 5472398400 is about 1762.2163881462.

The spelling of 5472398400 in words is "five billion, four hundred seventy-two million, three hundred ninety-eight thousand, four hundred".