Search a number
-
+
5303542000 = 245331113757
BaseRepresentation
bin1001111000001110…
…11010000011110000
3111200121112211220111
410330013122003300
541330201321000
62234133151104
7245266235401
oct47407320360
914617484814
105303542000
112281790669
12104018b494
136669c9943
143845179a8
15210914cba
hex13c1da0f0

5303542000 has 160 divisors (see below), whose sum is σ = 13372429824. Its totient is φ = 2032128000.

The previous prime is 5303541989. The next prime is 5303542019. The reversal of 5303542000 is 2453035.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7005622 + ... + 7006378.

Almost surely, 25303542000 is an apocalyptic number.

5303542000 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 5303542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6686214912).

5303542000 is an abundant number, since it is smaller than the sum of its proper divisors (8068887824).

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

5303542000 is a wasteful number, since it uses less digits than its factorization.

5303542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 5303542000 is about 72825.4213856672. The cubic root of 5303542000 is about 1743.9017125402.

Adding to 5303542000 its reverse (2453035), we get a palindrome (5305995035).

The spelling of 5303542000 in words is "five billion, three hundred three million, five hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 113 124 125 155 200 226 248 250 310 400 452 496 500 565 620 757 775 904 1000 1130 1240 1514 1550 1808 2000 2260 2480 2825 3028 3100 3503 3785 3875 4520 5650 6056 6200 7006 7570 7750 9040 11300 12112 12400 14012 14125 15140 15500 17515 18925 22600 23467 28024 28250 30280 31000 35030 37850 45200 46934 56048 56500 60560 62000 70060 75700 85541 87575 93868 94625 113000 117335 140120 151400 171082 175150 187736 189250 226000 234670 280240 302800 342164 350300 375472 378500 427705 437875 469340 586675 684328 700600 757000 855410 875750 938680 1173350 1368656 1401200 1514000 1710820 1751500 1877360 2138525 2346700 2651771 2933375 3421640 3503000 4277050 4693400 5303542 5866750 6843280 7006000 8554100 9386800 10607084 10692625 11733500 13258855 17108200 21214168 21385250 23467000 26517710 34216400 42428336 42770500 46934000 53035420 66294275 85541000 106070840 132588550 171082000 212141680 265177100 331471375 530354200 662942750 1060708400 1325885500 2651771000 5303542000