Search a number
-
+
87332728 = 23737113373
BaseRepresentation
bin1010011010010…
…01011101111000
320002022221222111
411031021131320
5134324121403
612355502104
72110213240
oct515113570
9202287874
1087332728
114532a40a
12252b7934
1315129b92
14b854b20
157a0156d
hex5349778

87332728 has 64 divisors (see below), whose sum is σ = 194420160. Its totient is φ = 35997696.

The previous prime is 87332701. The next prime is 87332743. The reversal of 87332728 is 82723378.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233950 + ... + 234322.

It is an arithmetic number, because the mean of its divisors is an integer number (3037815).

Almost surely, 287332728 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 87332728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97210080).

87332728 is an abundant number, since it is smaller than the sum of its proper divisors (107087432).

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

87332728 is a wasteful number, since it uses less digits than its factorization.

87332728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 532 counting only the distinct ones).

The product of its digits is 112896, while the sum is 40.

The square root of 87332728 is about 9345.1981252406. The cubic root of 87332728 is about 443.6689223557.

The spelling of 87332728 in words is "eighty-seven million, three hundred thirty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 37 56 74 113 148 226 259 296 373 452 518 746 791 904 1036 1492 1582 2072 2611 2984 3164 4181 5222 6328 8362 10444 13801 16724 20888 27602 29267 33448 42149 55204 58534 84298 96607 110408 117068 168596 193214 234136 295043 337192 386428 590086 772856 1180172 1559513 2360344 3119026 6238052 10916591 12476104 21833182 43666364 87332728