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5440572540 = 223251331179419
BaseRepresentation
bin1010001000100100…
…01000110001111100
3112001011101201110200
411010102020301330
542120241310130
62255510203500
7251552050344
oct50422106174
915034351420
105440572540
112342074747
12107a053590
136892074c0
143987c7d24
1521c981760
hex144488c7c

5440572540 has 288 divisors, whose sum is σ = 18492364800. Its totient is φ = 1285701120.

The previous prime is 5440572523. The next prime is 5440572541. The reversal of 5440572540 is 452750445.

It is a happy number.

5440572540 is a `hidden beast` number, since 5 + 4 + 40 + 5 + 72 + 540 = 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 = 5440572495 and 5440572504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5440572541) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 12984451 + ... + 12984869.

It is an arithmetic number, because the mean of its divisors is an integer number (64209600).

Almost surely, 25440572540 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 5440572540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9246182400).

5440572540 is an abundant number, since it is smaller than the sum of its proper divisors (13051792260).

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

5440572540 is a wasteful number, since it uses less digits than its factorization.

5440572540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The square root of 5440572540 is about 73760.2368488605. The cubic root of 5440572540 is about 1758.7935667199.

The spelling of 5440572540 in words is "five billion, four hundred forty million, five hundred seventy-two thousand, five hundred forty".