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5423510400 = 2735271122329
BaseRepresentation
bin1010000110100010…
…00011001110000000
3111222222021212121120
411003101003032000
542101404313100
62254100352240
7251254035450
oct50321031600
914888255546
105423510400
112333480700
1210743a5680
13685812369
14396425d60
1521b2110a0
hex143443380

5423510400 has 1152 divisors, whose sum is σ = 24223449600. Its totient is φ = 1040793600.

The previous prime is 5423510363. The next prime is 5423510447. The reversal of 5423510400 is 40153245.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 187017586 + ... + 187017614.

It is an arithmetic number, because the mean of its divisors is an integer number (21027300).

Almost surely, 25423510400 is an apocalyptic number.

5423510400 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 5423510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12111724800).

5423510400 is an abundant number, since it is smaller than the sum of its proper divisors (18799939200).

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

5423510400 is a wasteful number, since it uses less digits than its factorization.

5423510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 5423510400 is about 73644.4865553423. The cubic root of 5423510400 is about 1756.9530614714.

Adding to 5423510400 its reverse (40153245), we get a palindrome (5463663645).

The spelling of 5423510400 in words is "five billion, four hundred twenty-three million, five hundred ten thousand, four hundred".