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87248862 = 232172391193
BaseRepresentation
bin1010011001101…
…00111111011110
320002011200221100
411030310333132
5134313430422
612354013530
72106413601
oct514647736
9202150840
1087248862
11452823a8
12252772a6
13150ca95c
14b832338
1579d67ac
hex5334fde

87248862 has 48 divisors (see below), whose sum is σ = 201165120. Its totient is φ = 27234816.

The previous prime is 87248839. The next prime is 87248869. The reversal of 87248862 is 26884278.

It is a happy number.

It is a super-2 number, since 2×872488622 = 15224727840590088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87248869) 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 23 ways as a sum of consecutive naturals, for example, 72538 + ... + 73730.

It is an arithmetic number, because the mean of its divisors is an integer number (4190940).

Almost surely, 287248862 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87248862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100582560).

87248862 is an abundant number, since it is smaller than the sum of its proper divisors (113916258).

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

87248862 is a wasteful number, since it uses less digits than its factorization.

87248862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1454 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 87248862 is about 9340.7099301927. The cubic root of 87248862 is about 443.5268578032.

The spelling of 87248862 in words is "eighty-seven million, two hundred forty-eight thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 239 306 478 717 1193 1434 2151 2386 3579 4063 4302 7158 8126 10737 12189 20281 21474 24378 36567 40562 60843 73134 121686 182529 285127 365058 570254 855381 1710762 2566143 4847159 5132286 9694318 14541477 29082954 43624431 87248862