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87830509 = 13101151443
BaseRepresentation
bin1010011110000…
…10111111101101
320010021020210211
411033002333231
5134441034014
612414302421
72114355424
oct517027755
9203236724
1087830509
114563a3a8
12254b7a11
1315272620
14b9442bb
157a9dcc4
hex53c2fed

87830509 has 16 divisors (see below), whose sum is σ = 96372864. Its totient is φ = 79560000.

The previous prime is 87830507. The next prime is 87830513. The reversal of 87830509 is 90503878.

It is not a de Polignac number, because 87830509 - 21 = 87830507 is a prime.

It is a super-2 number, since 2×878305092 = 15428396622398162, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87830503) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 198042 + ... + 198484.

It is an arithmetic number, because the mean of its divisors is an integer number (6023304).

Almost surely, 287830509 is an apocalyptic number.

It is an amenable number.

87830509 is a deficient number, since it is larger than the sum of its proper divisors (8542355).

87830509 is a wasteful number, since it uses less digits than its factorization.

87830509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708.

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 87830509 is about 9371.7932648987. The cubic root of 87830509 is about 444.5102704839.

The spelling of 87830509 in words is "eighty-seven million, eight hundred thirty thousand, five hundred nine".

Divisors: 1 13 101 151 443 1313 1963 5759 15251 44743 66893 198263 581659 869609 6756193 87830509