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5394254400 = 263352236189
BaseRepresentation
bin1010000011000010…
…11100101001000000
3111220221020111221000
411001201130221000
542021412120100
62251133332000
7250450256133
oct50141345100
914827214830
105394254400
112318a09197
121066637000
1367c73ac12
143925ac21a
15218882900
hex14185ca40

5394254400 has 672 divisors, whose sum is σ = 21089721600. Its totient is φ = 1338163200.

The previous prime is 5394254381. The next prime is 5394254401. The reversal of 5394254400 is 44524935.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (5394254401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60609556 + ... + 60609644.

Almost surely, 25394254400 is an apocalyptic number.

5394254400 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 5394254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10544860800).

5394254400 is an abundant number, since it is smaller than the sum of its proper divisors (15695467200).

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

5394254400 is a wasteful number, since it uses less digits than its factorization.

5394254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5394254400 is about 73445.5880226988. The cubic root of 5394254400 is about 1753.7881911379.

The spelling of 5394254400 in words is "five billion, three hundred ninety-four million, two hundred fifty-four thousand, four hundred".