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87490494 = 232713311723
BaseRepresentation
bin1010011011011…
…11111110111110
320002121222101200
411031233332332
5134344143434
612403120330
72111441220
oct515577676
9202558350
1087490494
11454279a3
12253730a6
1315183930
14b896410
157a33199
hex536ffbe

87490494 has 96 divisors (see below), whose sum is σ = 240973824. Its totient is φ = 22317120.

The previous prime is 87490441. The next prime is 87490499. The reversal of 87490494 is 49409478.

87490494 is a `hidden beast` number, since 8 + 74 + 90 + 494 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87490499) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49917 + ... + 51639.

It is an arithmetic number, because the mean of its divisors is an integer number (2510144).

Almost surely, 287490494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87490494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120486912).

87490494 is an abundant number, since it is smaller than the sum of its proper divisors (153483330).

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

87490494 is a wasteful number, since it uses less digits than its factorization.

87490494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 87490494 is about 9353.6353360605. The cubic root of 87490494 is about 443.9359233073.

The spelling of 87490494 in words is "eighty-seven million, four hundred ninety thousand, four hundred ninety-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 31 39 42 62 63 78 91 93 117 126 182 186 217 234 273 279 403 434 546 558 651 806 819 1209 1302 1638 1723 1953 2418 2821 3446 3627 3906 5169 5642 7254 8463 10338 12061 15507 16926 22399 24122 25389 31014 36183 44798 50778 53413 67197 72366 106826 108549 134394 156793 160239 201591 217098 313586 320478 373891 403182 470379 480717 694369 747782 940758 961434 1121673 1388738 1411137 2083107 2243346 2822274 3365019 4166214 4860583 6249321 6730038 9721166 12498642 14581749 29163498 43745247 87490494