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5200001235 = 3251113808081
BaseRepresentation
bin1001101011111000…
…11011100011010011
3111102101201102200100
410311330123203103
541122200014420
62215554023443
7242601165312
oct46574334323
914371642610
105200001235
1122292a0990
121011577b83
1364b416610
14374884279
152067b1190
hex135f1b8d3

5200001235 has 48 divisors (see below), whose sum is σ = 10589106528. Its totient is φ = 2327270400.

The previous prime is 5200001231. The next prime is 5200001237. The reversal of 5200001235 is 5321000025.

It is a happy number.

It is not a de Polignac number, because 5200001235 - 22 = 5200001231 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5200001231) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 397606 + ... + 410475.

It is an arithmetic number, because the mean of its divisors is an integer number (220606386).

Almost surely, 25200001235 is an apocalyptic number.

5200001235 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5200001235 is an abundant number, since it is smaller than the sum of its proper divisors (5389105293).

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

5200001235 is a wasteful number, since it uses less digits than its factorization.

5200001235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808116 (or 808113 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5200001235 is about 72111.0340724636. The cubic root of 5200001235 is about 1732.4783478363.

The spelling of 5200001235 in words is "five billion, two hundred million, one thousand, two hundred thirty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 195 429 495 585 715 1287 2145 6435 808081 2424243 4040405 7272729 8888891 10505053 12121215 26666673 31515159 36363645 44444455 52525265 80000019 94545477 115555583 133333365 157575795 346666749 400000095 472727385 577777915 1040000247 1733333745 5200001235