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5342023200 = 253527330491
BaseRepresentation
bin1001111100110100…
…01100111000100000
3111210021221220012010
410332122030320200
541420024220300
62242030032520
7246244306443
oct47632147040
914707856163
105342023200
1122a1484108
121051048740
13671981097
1438969365a
15213eb6a50
hex13e68ce20

5342023200 has 144 divisors (see below), whose sum is σ = 17627059296. Its totient is φ = 1404979200.

The previous prime is 5342023123. The next prime is 5342023277. The reversal of 5342023200 is 23202435.

It is an interprime number because it is at equal distance from previous prime (5342023123) and next prime (5342023277).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159955 + ... + 190445.

It is an arithmetic number, because the mean of its divisors is an integer number (122410134).

Almost surely, 25342023200 is an apocalyptic number.

5342023200 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 5342023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8813529648).

5342023200 is an abundant number, since it is smaller than the sum of its proper divisors (12285036096).

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

5342023200 is a wasteful number, since it uses less digits than its factorization.

5342023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30587 (or 30574 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 5342023200 is about 73089.1455689557. The cubic root of 5342023200 is about 1748.1093267887.

Adding to 5342023200 its reverse (23202435), we get a palindrome (5365225635).

The spelling of 5342023200 in words is "five billion, three hundred forty-two million, twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 73 75 80 96 100 120 146 150 160 200 219 240 292 300 365 400 438 480 584 600 730 800 876 1095 1168 1200 1460 1752 1825 2190 2336 2400 2920 3504 3650 4380 5475 5840 7008 7300 8760 10950 11680 14600 17520 21900 29200 30491 35040 43800 58400 60982 87600 91473 121964 152455 175200 182946 243928 304910 365892 457365 487856 609820 731784 762275 914730 975712 1219640 1463568 1524550 1829460 2225843 2286825 2439280 2927136 3049100 3658920 4451686 4573650 4878560 6098200 6677529 7317840 8903372 9147300 11129215 12196400 13355058 14635680 17806744 18294600 22258430 24392800 26710116 33387645 35613488 36589200 44516860 53420232 55646075 66775290 71226976 73178400 89033720 106840464 111292150 133550580 166938225 178067440 213680928 222584300 267101160 333876450 356134880 445168600 534202320 667752900 890337200 1068404640 1335505800 1780674400 2671011600 5342023200