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88863216 = 24313178377
BaseRepresentation
bin1010100101111…
…11000111110000
320012012201102020
411102333013300
5140222110331
612452351440
72126216301
oct522770760
9205181366
1088863216
1146185282
1225915580
13155446b0
14bb327a8
157c04c96
hex54bf1f0

88863216 has 80 divisors (see below), whose sum is σ = 261795744. Its totient is φ = 25731072.

The previous prime is 88863211. The next prime is 88863227. The reversal of 88863216 is 61236888.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88863211) 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, 6420 + ... + 14796.

Almost surely, 288863216 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 88863216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130897872).

88863216 is an abundant number, since it is smaller than the sum of its proper divisors (172932528).

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

88863216 is a wasteful number, since it uses less digits than its factorization.

88863216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8418 (or 8412 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 88863216 is about 9426.7288069616. The cubic root of 88863216 is about 446.2456635566.

The spelling of 88863216 in words is "eighty-eight million, eight hundred sixty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 816 884 1326 1768 2652 3536 5304 8377 10608 16754 25131 33508 50262 67016 100524 108901 134032 142409 201048 217802 284818 326703 402096 427227 435604 569636 653406 854454 871208 1139272 1306812 1708908 1742416 1851317 2278544 2613624 3417816 3702634 5227248 5553951 6835632 7405268 11107902 14810536 22215804 29621072 44431608 88863216