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5481055440 = 2432573135081
BaseRepresentation
bin1010001101011001…
…00100010011010000
3112010222120110120100
411012230210103100
542211122233230
62303514012400
7252553126320
oct50654442320
915128513510
105481055440
112362a05093
12108b717100
1369470ca93
1439dd25280
152212cb660
hex146b244d0

5481055440 has 240 divisors, whose sum is σ = 21716038656. Its totient is φ = 1212364800.

The previous prime is 5481055403. The next prime is 5481055451. The reversal of 5481055440 is 445501845.

It is a happy number.

5481055440 is a `hidden beast` number, since 5 + 4 + 8 + 105 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 5481055395 and 5481055404.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 138700 + ... + 173780.

Almost surely, 25481055440 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 5481055440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10858019328).

5481055440 is an abundant number, since it is smaller than the sum of its proper divisors (16234983216).

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

5481055440 is a wasteful number, since it uses less digits than its factorization.

5481055440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35138 (or 35129 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The square root of 5481055440 is about 74034.1504982667. The cubic root of 5481055440 is about 1763.1451424271.

The spelling of 5481055440 in words is "five billion, four hundred eighty-one million, fifty-five thousand, four hundred forty".