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87441024 = 27311127163
BaseRepresentation
bin1010011011000…
…11111010000000
320002112110112110
411031203322000
5134341103044
612402055320
72111144046
oct515437200
9202473473
1087441024
11453a3810
122534a540
1315167268
14b882396
157a236b9
hex5363e80

87441024 has 128 divisors (see below), whose sum is σ = 256942080. Its totient is φ = 26127360.

The previous prime is 87441023. The next prime is 87441037. The reversal of 87441024 is 42014478.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 87440982 and 87441000.

It is not an unprimeable number, because it can be changed into a prime (87441023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 536367 + ... + 536529.

It is an arithmetic number, because the mean of its divisors is an integer number (2007360).

Almost surely, 287441024 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 87441024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128471040).

87441024 is an abundant number, since it is smaller than the sum of its proper divisors (169501056).

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

87441024 is a wasteful number, since it uses less digits than its factorization.

87441024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 87441024 is about 9350.9905357668. The cubic root of 87441024 is about 443.8522355462.

The spelling of 87441024 in words is "eighty-seven million, four hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 127 128 132 163 176 192 254 264 326 352 381 384 489 508 528 652 704 762 978 1016 1056 1304 1397 1408 1524 1793 1956 2032 2112 2608 2794 3048 3586 3912 4064 4191 4224 5216 5379 5588 6096 7172 7824 8128 8382 10432 10758 11176 12192 14344 15648 16256 16764 20701 20864 21516 22352 24384 28688 31296 33528 41402 43032 44704 48768 57376 62103 62592 67056 82804 86064 89408 114752 124206 134112 165608 172128 178816 227711 229504 248412 268224 331216 344256 455422 496824 536448 662432 683133 688512 910844 993648 1324864 1366266 1821688 1987296 2649728 2732532 3643376 3974592 5465064 7286752 7949184 10930128 14573504 21860256 29147008 43720512 87441024