Search a number
-
+
87087375 = 3253199389
BaseRepresentation
bin1010011000011…
…01100100001111
320001212111102100
411030031210033
5134243244000
612350330143
72105142024
oct514154417
9201774370
1087087375
1145182041
12251b9953
13150722bb
14b7cd54b
1579a3a00
hex530d90f

87087375 has 48 divisors (see below), whose sum is σ = 158184000. Its totient is φ = 46094400.

The previous prime is 87087373. The next prime is 87087383. The reversal of 87087375 is 57378078.

It is not a de Polignac number, because 87087375 - 21 = 87087373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 87087375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87087373) 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 47 ways as a sum of consecutive naturals, for example, 223681 + ... + 224069.

It is an arithmetic number, because the mean of its divisors is an integer number (3295500).

Almost surely, 287087375 is an apocalyptic number.

87087375 is a deficient number, since it is larger than the sum of its proper divisors (71096625).

87087375 is a wasteful number, since it uses less digits than its factorization.

87087375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 87087375 is about 9332.0616693205. The cubic root of 87087375 is about 443.2530507700.

The spelling of 87087375 in words is "eighty-seven million, eighty-seven thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 75 125 199 225 375 389 597 995 1125 1167 1791 1945 2985 3501 4975 5835 8955 9725 14925 17505 24875 29175 44775 48625 74625 77411 87525 145875 223875 232233 387055 437625 696699 1161165 1935275 3483495 5805825 9676375 17417475 29029125 87087375