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540769328 = 2411367379
BaseRepresentation
bin100000001110110…
…111110000110000
31101200112221001122
4200032313300300
52101414104303
6125354321412
716254314651
oct4016676060
91350487048
10540769328
11258283000
12131129268
138805ab68
1451b69528
153271ce38
hex203b7c30

540769328 has 80 divisors (see below), whose sum is σ = 1172722560. Its totient is φ = 241496640.

The previous prime is 540769309. The next prime is 540769343. The reversal of 540769328 is 823967045.

It is a super-2 number, since 2×5407693282 = 584862932211143168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 15 ways as a sum of consecutive naturals, for example, 1426643 + ... + 1427021.

It is an arithmetic number, because the mean of its divisors is an integer number (14659032).

Almost surely, 2540769328 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 540769328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586361280).

540769328 is an abundant number, since it is smaller than the sum of its proper divisors (631953232).

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

540769328 is a wasteful number, since it uses less digits than its factorization.

540769328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 540769328 is about 23254.4474885988. The cubic root of 540769328 is about 814.7118195248.

The spelling of 540769328 in words is "five hundred forty million, seven hundred sixty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 67 88 121 134 176 242 268 379 484 536 737 758 968 1072 1331 1474 1516 1936 2662 2948 3032 4169 5324 5896 6064 8107 8338 10648 11792 16214 16676 21296 25393 32428 33352 45859 50786 64856 66704 89177 91718 101572 129712 178354 183436 203144 279323 356708 366872 406288 504449 558646 713416 733744 1008898 1117292 1426832 2017796 2234584 3072553 4035592 4469168 6145106 8071184 12290212 24580424 33798083 49160848 67596166 135192332 270384664 540769328