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87888216 = 23313436551
BaseRepresentation
bin1010011110100…
…01000101011000
320010101011222010
411033101011120
5134444410331
612415425520
72115015603
oct517210530
9203334863
1087888216
1145679799
12255252a0
1315292980
14b95b33a
157ab0e46
hex53d1158

87888216 has 64 divisors (see below), whose sum is σ = 242161920. Its totient is φ = 26409600.

The previous prime is 87888179. The next prime is 87888217. The reversal of 87888216 is 61288878.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87888217) 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, 10141 + ... + 16691.

It is an arithmetic number, because the mean of its divisors is an integer number (3783780).

Almost surely, 287888216 is an apocalyptic number.

87888216 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87888216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121080960).

87888216 is an abundant number, since it is smaller than the sum of its proper divisors (154273704).

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

87888216 is a wasteful number, since it uses less digits than its factorization.

87888216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6616 (or 6612 counting only the distinct ones).

The product of its digits is 344064, while the sum is 48.

The square root of 87888216 is about 9374.8715191196. The cubic root of 87888216 is about 444.6076008939.

The spelling of 87888216 in words is "eighty-seven million, eight hundred eighty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 156 172 258 312 344 516 559 1032 1118 1677 2236 3354 4472 6551 6708 13102 13416 19653 26204 39306 52408 78612 85163 157224 170326 255489 281693 340652 510978 563386 681304 845079 1021956 1126772 1690158 2043912 2253544 3380316 3662009 6760632 7324018 10986027 14648036 21972054 29296072 43944108 87888216