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540112352 = 25134131667
BaseRepresentation
bin100000001100010…
…111010111100000
31101122022112212012
4200030113113200
52101232043402
6125332252052
716245610403
oct4014272740
91348275765
10540112352
1125797444a
12130a71028
1387b8ab10
1451a37d3a
153263d452
hex203175e0

540112352 has 48 divisors (see below), whose sum is σ = 1173109392. Its totient is φ = 243194880.

The previous prime is 540112351. The next prime is 540112367. The reversal of 540112352 is 253211045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540112351) 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, 1223 + ... + 32889.

It is an arithmetic number, because the mean of its divisors is an integer number (24439779).

Almost surely, 2540112352 is an apocalyptic number.

540112352 is a gapful number since it is divisible by the number (52) 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 540112352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586554696).

540112352 is an abundant number, since it is smaller than the sum of its proper divisors (632997040).

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

540112352 is a wasteful number, since it uses less digits than its factorization.

540112352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31731 (or 31723 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 540112352 is about 23240.3173816538. The cubic root of 540112352 is about 814.3817570340.

Adding to 540112352 its reverse (253211045), we get a palindrome (793323397).

The spelling of 540112352 in words is "five hundred forty million, one hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 328 416 533 656 1066 1312 2132 4264 8528 17056 31667 63334 126668 253336 411671 506672 823342 1013344 1298347 1646684 2596694 3293368 5193388 6586736 10386776 13173472 16878511 20773552 33757022 41547104 67514044 135028088 270056176 540112352