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5442085440 = 263451119087
BaseRepresentation
bin1010001000101111…
…11010001001000000
3112001021020120210000
411010113322021000
542121133213230
62300002440000
7251600651211
oct50427721100
915037216700
105442085440
112342a08380
12107a663000
13689616ccc
14398a9d408
1521cb7eb60
hex1445fa240

5442085440 has 280 divisors, whose sum is σ = 21119421312. Its totient is φ = 1319224320.

The previous prime is 5442085427. The next prime is 5442085459. The reversal of 5442085440 is 445802445.

5442085440 is a `hidden beast` number, since 5 + 4 + 4 + 208 + 5 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5442085395 and 5442085404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 275577 + ... + 294663.

Almost surely, 25442085440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5442085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10559710656).

5442085440 is an abundant number, since it is smaller than the sum of its proper divisors (15677335872).

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

5442085440 is a wasteful number, since it uses less digits than its factorization.

5442085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19127 (or 19108 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 5442085440 is about 73770.4916616393. The cubic root of 5442085440 is about 1758.9565784962.

Adding to 5442085440 its reverse (445802445), we get a palindrome (5887887885).

The spelling of 5442085440 in words is "five billion, four hundred forty-two million, eighty-five thousand, four hundred forty".