Search a number
-
+
87488478 = 23371153397
BaseRepresentation
bin1010011011011…
…11011111011110
320002121212122000
411031233133132
5134344112403
612403103130
72111432310
oct515573736
9202555560
1087488478
1145426430
1225371aa6
1315182a3c
14b8957b0
157a327a3
hex536f7de

87488478 has 128 divisors (see below), whose sum is σ = 247587840. Its totient is φ = 22239360.

The previous prime is 87488449. The next prime is 87488491.

It is a happy number.

87488478 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220176 + ... + 220572.

It is an arithmetic number, because the mean of its divisors is an integer number (1934280).

Almost surely, 287488478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87488478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123793920).

87488478 is an abundant number, since it is smaller than the sum of its proper divisors (160099362).

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

87488478 is a wasteful number, since it uses less digits than its factorization.

87488478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 473 counting only the distinct ones).

The product of its digits is 3211264, while the sum is 54.

The square root of 87488478 is about 9353.5275698530. The cubic root of 87488478 is about 443.9325134828.

The spelling of 87488478 in words is "eighty-seven million, four hundred eighty-eight thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 53 54 63 66 77 99 106 126 154 159 189 198 231 297 318 371 378 397 462 477 583 594 693 742 794 954 1113 1166 1191 1386 1431 1749 2079 2226 2382 2779 2862 3339 3498 3573 4081 4158 4367 5247 5558 6678 7146 8162 8337 8734 10017 10494 10719 12243 13101 15741 16674 20034 21041 21438 24486 25011 26202 30569 31482 36729 39303 42082 50022 61138 63123 73458 75033 78606 91707 110187 117909 126246 147287 150066 183414 189369 220374 231451 235818 275121 294574 378738 441861 462902 550242 568107 694353 825363 883722 1136214 1325583 1388706 1620157 1650726 2083059 2651166 3240314 3976749 4166118 4860471 6249177 7953498 9720942 12498354 14581413 29162826 43744239 87488478