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5227434600 = 2335224136151
BaseRepresentation
bin1001101111001010…
…00101001001101000
3111111022100012011220
410313211011021220
541201210401400
62222414022040
7243353314053
oct46745051150
914438305156
105227434600
112242828a93
12101a7a7920
1365400028b
14378385a9a
15208dce7a0
hex137945268

5227434600 has 96 divisors (see below), whose sum is σ = 16272738240. Its totient is φ = 1388160000.

The previous prime is 5227434599. The next prime is 5227434607. The reversal of 5227434600 is 64347225.

It is a Cunningham number, because it is equal to 723012-1.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5227434607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126525 + ... + 162675.

It is an arithmetic number, because the mean of its divisors is an integer number (169507690).

Almost surely, 25227434600 is an apocalyptic number.

5227434600 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 5227434600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8136369120).

5227434600 is an abundant number, since it is smaller than the sum of its proper divisors (11045303640).

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

5227434600 is a wasteful number, since it uses less digits than its factorization.

5227434600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36411 (or 36402 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 5227434600 is about 72300.9999930845. Note that the first 5 decimals coincide. The cubic root of 5227434600 is about 1735.5196532158.

The spelling of 5227434600 in words is "five billion, two hundred twenty-seven million, four hundred thirty-four thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 241 300 482 600 723 964 1205 1446 1928 2410 2892 3615 4820 5784 6025 7230 9640 12050 14460 18075 24100 28920 36150 36151 48200 72300 72302 108453 144600 144604 180755 216906 289208 361510 433812 542265 723020 867624 903775 1084530 1446040 1807550 2169060 2711325 3615100 4338120 5422650 7230200 8712391 10845300 17424782 21690600 26137173 34849564 43561955 52274346 69699128 87123910 104548692 130685865 174247820 209097384 217809775 261371730 348495640 435619550 522743460 653429325 871239100 1045486920 1306858650 1742478200 2613717300 5227434600