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5492282400 = 25325211312237
BaseRepresentation
bin1010001110101110…
…11001010000100000
3112011202200212001200
411013113121100200
542222011014100
62304554401200
7253050426063
oct50727312040
915152625050
105492282400
112369283070
121093430200
13696b40c57
143a16088da
15222297e00
hex1475d9420

5492282400 has 432 divisors, whose sum is σ = 21819103488. Its totient is φ = 1287936000.

The previous prime is 5492282377. The next prime is 5492282413. The reversal of 5492282400 is 42822945.

It is a super-2 number, since 2×54922824002 = 60330331922699520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2454082 + ... + 2456318.

It is an arithmetic number, because the mean of its divisors is an integer number (50507184).

Almost surely, 25492282400 is an apocalyptic number.

5492282400 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 5492282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10909551744).

5492282400 is an abundant number, since it is smaller than the sum of its proper divisors (16326821088).

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

5492282400 is a wasteful number, since it uses less digits than its factorization.

5492282400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5492282400 is about 74109.9345567111. The cubic root of 5492282400 is about 1764.3481503893.

The spelling of 5492282400 in words is "five billion, four hundred ninety-two million, two hundred eighty-two thousand, four hundred".