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87856048 = 2477191091
BaseRepresentation
bin1010011110010…
…01001110110000
320010022112211201
411033021032300
5134442343143
612415020544
72114523040
oct517111660
9203275751
1087856048
1145657605
122550a754
1315281137
14b94d720
157aa664d
hex53c93b0

87856048 has 40 divisors (see below), whose sum is σ = 194987520. Its totient is φ = 37565760.

The previous prime is 87856007. The next prime is 87856049. The reversal of 87856048 is 84065878.

It is a junction number, because it is equal to n+sod(n) for n = 87855989 and 87856007.

It is not an unprimeable number, because it can be changed into a prime (87856049) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 79983 + ... + 81073.

It is an arithmetic number, because the mean of its divisors is an integer number (4874688).

Almost surely, 287856048 is an apocalyptic number.

It is an amenable number.

87856048 is an abundant number, since it is smaller than the sum of its proper divisors (107131472).

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

87856048 is a wasteful number, since it uses less digits than its factorization.

87856048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The square root of 87856048 is about 9373.1557119254. The cubic root of 87856048 is about 444.5533506079.

The spelling of 87856048 in words is "eighty-seven million, eight hundred fifty-six thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 719 1091 1438 2182 2876 4364 5033 5752 7637 8728 10066 11504 15274 17456 20132 30548 40264 61096 80528 122192 784429 1568858 3137716 5491003 6275432 10982006 12550864 21964012 43928024 87856048