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5343452000 = 2553232412
BaseRepresentation
bin1001111100111111…
…01001101101100000
3111210101122111010122
410332133221231200
541420410431000
62242120415412
7246262410155
oct47637515540
914711574118
105343452000
1122a226a637
121051617568
13672061523
1438994622c
1521419a085
hex13e7e9b60

5343452000 has 144 divisors (see below), whose sum is σ = 13756762656. Its totient is φ = 2035968000.

The previous prime is 5343451999. The next prime is 5343452017. The reversal of 5343452000 is 2543435.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22171880 + ... + 22172120.

It is an arithmetic number, because the mean of its divisors is an integer number (95533074).

Almost surely, 25343452000 is an apocalyptic number.

5343452000 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 5343452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6878381328).

5343452000 is an abundant number, since it is smaller than the sum of its proper divisors (8413310656).

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

5343452000 is an equidigital number, since it uses as much as digits as its factorization.

5343452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 5343452000 is about 73098.9192806569. The cubic root of 5343452000 is about 1748.2651651209.

Adding to 5343452000 its reverse (2543435), we get a palindrome (5345995435).

The spelling of 5343452000 in words is "five billion, three hundred forty-three million, four hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 241 250 368 400 460 482 500 575 736 800 920 964 1000 1150 1205 1840 1928 2000 2300 2410 2875 3680 3856 4000 4600 4820 5543 5750 6025 7712 9200 9640 11086 11500 12050 18400 19280 22172 23000 24100 27715 30125 38560 44344 46000 48200 55430 58081 60250 88688 92000 96400 110860 116162 120500 138575 177376 192800 221720 232324 241000 277150 290405 443440 464648 482000 554300 580810 692875 886880 929296 964000 1108600 1161620 1335863 1385750 1452025 1858592 2217200 2323240 2671726 2771500 2904050 4434400 4646480 5343452 5543000 5808100 6679315 7260125 9292960 10686904 11086000 11616200 13358630 14520250 21373808 22172000 23232400 26717260 29040500 33396575 42747616 46464800 53434520 58081000 66793150 106869040 116162000 133586300 166982875 213738080 232324000 267172600 333965750 534345200 667931500 1068690400 1335863000 2671726000 5343452000