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87505278 = 2372367811
BaseRepresentation
bin1010011011100…
…11100101111110
320002122201200020
411031303211332
5134400132103
612403313010
72111532300
oct515634576
9202581606
1087505278
1145438013
122537b766
131518a593
14b89b970
157a37753
hex537397e

87505278 has 48 divisors (see below), whose sum is σ = 204390144. Its totient is φ = 24902640.

The previous prime is 87505261. The next prime is 87505291. The reversal of 87505278 is 87250578.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 107493 + ... + 108303.

It is an arithmetic number, because the mean of its divisors is an integer number (4258128).

Almost surely, 287505278 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87505278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102195072).

87505278 is an abundant number, since it is smaller than the sum of its proper divisors (116884866).

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

87505278 is a wasteful number, since it uses less digits than its factorization.

87505278 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 42.

The square root of 87505278 is about 9354.4255836476. The cubic root of 87505278 is about 443.9609270867.

It can be divided in two parts, 8750 and 5278, that added together give a triangular number (14028 = T167).

The spelling of 87505278 in words is "eighty-seven million, five hundred five thousand, two hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 367 734 811 1101 1622 2202 2433 2569 4866 5138 5677 7707 11354 15414 17031 17983 34062 35966 39739 53949 79478 107898 119217 238434 297637 595274 892911 1785822 2083459 4166918 6250377 12500754 14584213 29168426 43752639 87505278