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87442848 = 2533101207
BaseRepresentation
bin1010011011001…
…00010110100000
320002112120001000
411031210112200
5134341132343
612402112000
72111152263
oct515442640
9202476030
1087442848
11453a5119
122534b600
131516803c
14b882cda
157a23ed3
hex53645a0

87442848 has 48 divisors (see below), whose sum is σ = 255044160. Its totient is φ = 29147328.

The previous prime is 87442813. The next prime is 87442891. The reversal of 87442848 is 84824478.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×874428482 = 15292503332702208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49740 + ... + 51467.

It is an arithmetic number, because the mean of its divisors is an integer number (5313420).

Almost surely, 287442848 is an apocalyptic number.

It is an amenable number.

87442848 is an abundant number, since it is smaller than the sum of its proper divisors (167601312).

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

87442848 is a wasteful number, since it uses less digits than its factorization.

87442848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101226 (or 101212 counting only the distinct ones).

The product of its digits is 458752, while the sum is 45.

The square root of 87442848 is about 9351.0880650329. The cubic root of 87442848 is about 443.8553217438.

The spelling of 87442848 in words is "eighty-seven million, four hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 101207 202414 303621 404828 607242 809656 910863 1214484 1619312 1821726 2428968 2732589 3238624 3643452 4857936 5465178 7286904 9715872 10930356 14573808 21860712 29147616 43721424 87442848