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5403242800 = 2452192330911
BaseRepresentation
bin1010000100000111…
…01111000100110000
3111221120011011200201
411002003233010300
542031212232200
62252054124544
7250616543314
oct50203570460
914846134621
105403242800
112322a9831a
121069650754
136815671b7
1439386bb44
1521955ac6a
hex1420ef130

5403242800 has 120 divisors (see below), whose sum is σ = 14259087360. Its totient is φ = 1958457600.

The previous prime is 5403242783. The next prime is 5403242837. The reversal of 5403242800 is 82423045.

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 23 ways as a sum of consecutive naturals, for example, 159345 + ... + 190255.

It is an arithmetic number, because the mean of its divisors is an integer number (118825728).

Almost surely, 25403242800 is an apocalyptic number.

5403242800 is a gapful number since it is divisible by the number (50) 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 5403242800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7129543680).

5403242800 is an abundant number, since it is smaller than the sum of its proper divisors (8855844560).

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

5403242800 is a wasteful number, since it uses less digits than its factorization.

5403242800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30971 (or 30960 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 5403242800 is about 73506.7534312324. The cubic root of 5403242800 is about 1754.7617580134.

Adding to 5403242800 its reverse (82423045), we get a palindrome (5485665845).

The spelling of 5403242800 in words is "five billion, four hundred three million, two hundred forty-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 19 20 23 25 38 40 46 50 76 80 92 95 100 115 152 184 190 200 230 304 368 380 400 437 460 475 575 760 874 920 950 1150 1520 1748 1840 1900 2185 2300 3496 3800 4370 4600 6992 7600 8740 9200 10925 17480 21850 30911 34960 43700 61822 87400 123644 154555 174800 247288 309110 494576 587309 618220 710953 772775 1174618 1236440 1421906 1545550 2349236 2472880 2843812 2936545 3091100 3554765 4698472 5687624 5873090 6182200 7109530 9396944 11375248 11746180 12364400 13508107 14219060 14682725 17773825 23492360 27016214 28438120 29365450 35547650 46984720 54032428 56876240 58730900 67540535 71095300 108064856 117461800 135081070 142190600 216129712 234923600 270162140 284381200 337702675 540324280 675405350 1080648560 1350810700 2701621400 5403242800