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540042152 = 231310151413
BaseRepresentation
bin100000001100000…
…110001110101000
31101122011222120012
4200030012032220
52101222322102
6125330551052
716245165626
oct4014061650
91348158505
10540042152
11257926731
12130a38488
1387b64b90
1451a1a516
1532627752
hex203063a8

540042152 has 32 divisors (see below), whose sum is σ = 1101287880. Its totient is φ = 246777600.

The previous prime is 540042137. The next prime is 540042157. The reversal of 540042152 is 251240045.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 468029956 + 72012196 = 21634^2 + 8486^2 .

It is a super-2 number, since 2×5400421522 = 583291051873582208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (540042157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15203 + ... + 36210.

Almost surely, 2540042152 is an apocalyptic number.

540042152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

540042152 is an abundant number, since it is smaller than the sum of its proper divisors (561245728).

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

540042152 is a wasteful number, since it uses less digits than its factorization.

540042152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51533 (or 51529 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 540042152 is about 23238.8070261793. The cubic root of 540042152 is about 814.3464729700.

Adding to 540042152 its reverse (251240045), we get a palindrome (791282197).

The spelling of 540042152 in words is "five hundred forty million, forty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 101 104 202 404 808 1313 2626 5252 10504 51413 102826 205652 411304 668369 1336738 2673476 5192713 5346952 10385426 20770852 41541704 67505269 135010538 270021076 540042152