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87002048 = 267227743
BaseRepresentation
bin1010010111110…
…00101111000000
320001201011101002
411023320233000
5134233031143
612344431132
72104335200
oct513705700
9201634332
1087002048
1145123a21
12251784a8
1315042503
14b7aa400
1579885b8
hex52f8bc0

87002048 has 42 divisors (see below), whose sum is σ = 200838816. Its totient is φ = 37285248.

The previous prime is 87002033. The next prime is 87002087. The reversal of 87002048 is 84020078.

It is a self number, because there is not a number n which added to its sum of digits gives 87002048.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 10736 + ... + 17007.

Almost surely, 287002048 is an apocalyptic number.

It is an amenable number.

87002048 is an abundant number, since it is smaller than the sum of its proper divisors (113836768).

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

87002048 is a wasteful number, since it uses less digits than its factorization.

87002048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27769 (or 27752 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 87002048 is about 9327.4888367663. The cubic root of 87002048 is about 443.1082390714.

The spelling of 87002048 in words is "eighty-seven million, two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 27743 55486 110972 194201 221944 388402 443888 776804 887776 1359407 1553608 1775552 2718814 3107216 5437628 6214432 10875256 12428864 21750512 43501024 87002048