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540822744 = 23357113613
BaseRepresentation
bin100000001111000…
…100110011011000
31101200122122100000
4200033010303120
52101422311434
6125355413000
716254626460
oct4017046330
91350578300
10540822744
1125830a150
12131154160
1388079277
1451b80ba0
153272db99
hex203c4cd8

540822744 has 192 divisors, whose sum is σ = 1894314240. Its totient is φ = 140434560.

The previous prime is 540822743. The next prime is 540822757. The reversal of 540822744 is 447228045.

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 = 540822699 and 540822708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540822743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147882 + ... + 151494.

It is an arithmetic number, because the mean of its divisors is an integer number (9866220).

Almost surely, 2540822744 is an apocalyptic number.

540822744 is a gapful number since it is divisible by the number (54) 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 540822744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947157120).

540822744 is an abundant number, since it is smaller than the sum of its proper divisors (1353491496).

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

540822744 is a wasteful number, since it uses less digits than its factorization.

540822744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3652 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 540822744 is about 23255.5959717226. The cubic root of 540822744 is about 814.7386437864.

The spelling of 540822744 in words is "five hundred forty million, eight hundred twenty-two thousand, seven hundred forty-four".