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87285708 = 2233292312
BaseRepresentation
bin1010011001111…
…01111111001100
320002020120111000
411030331333030
5134321120313
612354500300
72106626166
oct514757714
9202216430
1087285708
11452a8054
1225294690
1315111663
14b841936
1579e2673
hex533dfcc

87285708 has 108 divisors (see below), whose sum is σ = 242172840. Its totient is φ = 27185760.

The previous prime is 87285707. The next prime is 87285727. The reversal of 87285708 is 80758278.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

87285708 is a `hidden beast` number, since 8 + 72 + 8 + 570 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×872857082 = 15237589642122528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87285707) 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 35 ways as a sum of consecutive naturals, for example, 2815653 + ... + 2815683.

Almost surely, 287285708 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87285708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121086420).

87285708 is an abundant number, since it is smaller than the sum of its proper divisors (154887132).

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

87285708 is a wasteful number, since it uses less digits than its factorization.

87285708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 87285708 is about 9342.6820560265. The cubic root of 87285708 is about 443.5892841787.

The spelling of 87285708 in words is "eighty-seven million, two hundred eighty-five thousand, seven hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 31 36 54 58 62 87 93 108 116 124 174 186 261 279 348 372 522 558 783 837 841 899 961 1044 1116 1566 1674 1682 1798 1922 2523 2697 2883 3132 3348 3364 3596 3844 5046 5394 5766 7569 8091 8649 10092 10788 11532 15138 16182 17298 22707 24273 25947 26071 27869 30276 32364 34596 45414 48546 51894 52142 55738 78213 83607 90828 97092 103788 104284 111476 156426 167214 234639 250821 312852 334428 469278 501642 703917 752463 808201 938556 1003284 1407834 1504926 1616402 2424603 2815668 3009852 3232804 4849206 7273809 9698412 14547618 21821427 29095236 43642854 87285708