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87763216 = 2423210369
BaseRepresentation
bin1010011101100…
…10100100010000
320010010211111111
411032302210100
5134431410331
612413023104
72113655302
oct516624420
9203124444
1087763216
11455a3892
1225484a94
131524aac8
14b927972
157a88db1
hex53b2910

87763216 has 30 divisors (see below), whose sum is σ = 177772910. Its totient is φ = 41969664.

The previous prime is 87763199. The next prime is 87763229. The reversal of 87763216 is 61236778.

It can be written as a sum of positive squares in only one way, i.e., 54169600 + 33593616 = 7360^2 + 5796^2 .

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 5 ways as a sum of consecutive naturals, for example, 3280 + ... + 13648.

Almost surely, 287763216 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 87763216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88886455).

87763216 is an abundant number, since it is smaller than the sum of its proper divisors (90009694).

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

87763216 is a wasteful number, since it uses less digits than its factorization.

87763216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10423 (or 10394 counting only the distinct ones).

The product of its digits is 84672, while the sum is 40.

The square root of 87763216 is about 9368.2023889325. The cubic root of 87763216 is about 444.3967181714.

The spelling of 87763216 in words is "eighty-seven million, seven hundred sixty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 2116 4232 8464 10369 20738 41476 82952 165904 238487 476974 953948 1907896 3815792 5485201 10970402 21940804 43881608 87763216