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87076448 = 2517592713
BaseRepresentation
bin1010011000010…
…10111001100000
320001211221102122
411030022321200
5134242421243
612350203412
72105065124
oct514127140
9201757378
1087076448
1145174908
12251b3568
131506a334
14b7c9584
1579a0668
hex530ae60

87076448 has 48 divisors (see below), whose sum is σ = 184660560. Its totient is φ = 40267776.

The previous prime is 87076421. The next prime is 87076469. The reversal of 87076448 is 84467078.

It is a junction number, because it is equal to n+sod(n) for n = 87076399 and 87076408.

It is a congruent number.

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, 30740 + ... + 33452.

It is an arithmetic number, because the mean of its divisors is an integer number (3847095).

Almost surely, 287076448 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 87076448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92330280).

87076448 is an abundant number, since it is smaller than the sum of its proper divisors (97584112).

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

87076448 is a wasteful number, since it uses less digits than its factorization.

87076448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 44.

The square root of 87076448 is about 9331.4761961868. The cubic root of 87076448 is about 443.2345114250.

The spelling of 87076448 in words is "eighty-seven million, seventy-six thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 59 68 118 136 236 272 472 544 944 1003 1888 2006 2713 4012 5426 8024 10852 16048 21704 32096 43408 46121 86816 92242 160067 184484 320134 368968 640268 737936 1280536 1475872 2561072 2721139 5122144 5442278 10884556 21769112 43538224 87076448