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540844752 = 243722271013
BaseRepresentation
bin100000001111001…
…010001011010000
31101200200202112010
4200033022023100
52101424013002
6125400102520
716255050600
oct4017121320
91350622463
10540844752
11258324738
12131164a40
13880862a6
1451b88c00
153273546c
hex203ca2d0

540844752 has 120 divisors (see below), whose sum is σ = 1634065056. Its totient is φ = 153694464.

The previous prime is 540844699. The next prime is 540844757. The reversal of 540844752 is 257448045.

It is a self number, because there is not a number n which added to its sum of digits gives 540844752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540844757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533398 + ... + 534410.

Almost surely, 2540844752 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 540844752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817032528).

540844752 is an abundant number, since it is smaller than the sum of its proper divisors (1093220304).

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

540844752 is a wasteful number, since it uses less digits than its factorization.

540844752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 39.

The square root of 540844752 is about 23256.0691433441. The cubic root of 540844752 is about 814.7496951737.

The spelling of 540844752 in words is "five hundred forty million, eight hundred forty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 227 294 336 392 454 588 681 784 908 1013 1176 1362 1589 1816 2026 2352 2724 3039 3178 3632 4052 4767 5448 6078 6356 7091 8104 9534 10896 11123 12156 12712 14182 16208 19068 21273 22246 24312 25424 28364 33369 38136 42546 44492 48624 49637 56728 66738 76272 85092 88984 99274 113456 133476 148911 170184 177968 198548 229951 266952 297822 340368 397096 459902 533904 595644 689853 794192 919804 1191288 1379706 1609657 1839608 2382576 2759412 3219314 3679216 4828971 5518824 6438628 9657942 11037648 11267599 12877256 19315884 22535198 25754512 33802797 38631768 45070396 67605594 77263536 90140792 135211188 180281584 270422376 540844752