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5342521200 = 243525577993
BaseRepresentation
bin1001111100111000…
…00110011101110000
3111210022220012022120
410332130012131300
541420141134300
62242044434240
7246251452362
oct47634063560
914708805276
105342521200
1122a1794285
121051248980
13671ac6963
14389782d32
152140643a0
hex13e706770

5342521200 has 120 divisors (see below), whose sum is σ = 17146746288. Its totient is φ = 1421936640.

The previous prime is 5342521153. The next prime is 5342521253. The reversal of 5342521200 is 21252435.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 664404 + ... + 672396.

Almost surely, 25342521200 is an apocalyptic number.

5342521200 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 5342521200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8573373144).

5342521200 is an abundant number, since it is smaller than the sum of its proper divisors (11804225088).

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

5342521200 is a wasteful number, since it uses less digits than its factorization.

5342521200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8571 (or 8560 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 5342521200 is about 73092.5522881778. The cubic root of 5342521200 is about 1748.1636464950.

Adding to 5342521200 its reverse (21252435), we get a palindrome (5363773635).

It can be divided in two parts, 534252 and 1200, that multiplied together give a square (641102400 = 253202).

The spelling of 5342521200 in words is "five billion, three hundred forty-two million, five hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 557 600 1114 1200 1671 2228 2785 3342 4456 5570 6684 7993 8355 8912 11140 13368 13925 15986 16710 22280 23979 26736 27850 31972 33420 39965 41775 44560 47958 55700 63944 66840 79930 83550 95916 111400 119895 127888 133680 159860 167100 191832 199825 222800 239790 319720 334200 383664 399650 479580 599475 639440 668400 799300 959160 1198950 1598600 1918320 2397900 3197200 4452101 4795800 8904202 9591600 13356303 17808404 22260505 26712606 35616808 44521010 53425212 66781515 71233616 89042020 106850424 111302525 133563030 178084040 213700848 222605050 267126060 333907575 356168080 445210100 534252120 667815150 890420200 1068504240 1335630300 1780840400 2671260600 5342521200