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87385142 = 21319237691
BaseRepresentation
bin1010011010101…
…10010000110110
320002102121212202
411031112100312
5134332311032
612400544502
72110522115
oct515262066
9202377782
1087385142
1145365829
1225322132
13151479b0
14b869c7c
157a11d62
hex5356436

87385142 has 32 divisors (see below), whose sum is σ = 155070720. Its totient is φ = 36542880.

The previous prime is 87385141. The next prime is 87385147. The reversal of 87385142 is 24158378.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 87385096 and 87385105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87385141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7517 + ... + 15207.

It is an arithmetic number, because the mean of its divisors is an integer number (4845960).

Almost surely, 287385142 is an apocalyptic number.

87385142 is a deficient number, since it is larger than the sum of its proper divisors (67685578).

87385142 is a wasteful number, since it uses less digits than its factorization.

87385142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7748.

The product of its digits is 53760, while the sum is 38.

The square root of 87385142 is about 9348.0020325201. The cubic root of 87385142 is about 443.7576627124.

Subtracting from 87385142 its sum of digits (38), we obtain a square (87385104 = 93482).

The spelling of 87385142 in words is "eighty-seven million, three hundred eighty-five thousand, one hundred forty-two".

Divisors: 1 2 13 19 23 26 38 46 247 299 437 494 598 874 5681 7691 11362 15382 99983 146129 176893 199966 292258 353786 1899677 2299609 3360967 3799354 4599218 6721934 43692571 87385142