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87488244 = 223229471783
BaseRepresentation
bin1010011011011…
…11011011110100
320002121212022100
411031233123310
5134344110434
612403102100
72111431524
oct515573364
9202555270
1087488244
1145426238
1225371930
13151828bc
14b895684
157a32699
hex536f6f4

87488244 has 72 divisors (see below), whose sum is σ = 233775360. Its totient is φ = 27542592.

The previous prime is 87488243. The next prime is 87488249. The reversal of 87488244 is 44288478.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 87488244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87488243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48177 + ... + 49959.

It is an arithmetic number, because the mean of its divisors is an integer number (3246880).

Almost surely, 287488244 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 87488244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116887680).

87488244 is an abundant number, since it is smaller than the sum of its proper divisors (146287116).

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

87488244 is a wasteful number, since it uses less digits than its factorization.

87488244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1864 counting only the distinct ones).

The product of its digits is 458752, while the sum is 45.

The square root of 87488244 is about 9353.5150611949. The cubic root of 87488244 is about 443.9321176962.

The spelling of 87488244 in words is "eighty-seven million, four hundred eighty-eight thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 47 58 87 94 116 141 174 188 261 282 348 423 522 564 846 1044 1363 1692 1783 2726 3566 4089 5349 5452 7132 8178 10698 12267 16047 16356 21396 24534 32094 49068 51707 64188 83801 103414 155121 167602 206828 251403 310242 335204 465363 502806 620484 754209 930726 1005612 1508418 1861452 2430229 3016836 4860458 7290687 9720916 14581374 21872061 29162748 43744122 87488244