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5422982400 = 28355211317
BaseRepresentation
bin1010000110011110…
…00010010100000000
3111222221022001100000
411003033002110000
542101240414100
62254041200000
7251246406213
oct50317022400
914887261300
105422982400
11233314aa40
121074190000
13685688c34
1439632977a
1521b159900
hex1433c2500

5422982400 has 648 divisors, whose sum is σ = 22003529184. Its totient is φ = 1310515200.

The previous prime is 5422982363. The next prime is 5422982401. The reversal of 5422982400 is 42892245.

5422982400 is a `hidden beast` number, since 542 + 2 + 98 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×54229824002 = 58817476221419520000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5422982401) 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 71 ways as a sum of consecutive naturals, for example, 17107042 + ... + 17107358.

Almost surely, 25422982400 is an apocalyptic number.

5422982400 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 5422982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11001764592).

5422982400 is an abundant number, since it is smaller than the sum of its proper divisors (16580546784).

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

5422982400 is a wasteful number, since it uses less digits than its factorization.

5422982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 338 counting only the distinct ones).

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

The square root of 5422982400 is about 73640.9016783472. The cubic root of 5422982400 is about 1756.8960441982.

The spelling of 5422982400 in words is "five billion, four hundred twenty-two million, nine hundred eighty-two thousand, four hundred".