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85152690 = 23257219309
BaseRepresentation
bin1010001001101…
…01001110110010
312221020012112100
411010311032302
5133244341230
612241041230
72052533400
oct504651662
9187205470
1085152690
1144080527
1224626216
131484580c
14b448470
157720660
hex51353b2

85152690 has 72 divisors (see below), whose sum is σ = 257556780. Its totient is φ = 19462464.

The previous prime is 85152631. The next prime is 85152701. The reversal of 85152690 is 9625158.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 78907689 + 6245001 = 8883^2 + 2499^2 .

It is a super-2 number, since 2×851526902 = 14501961228472200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5245 + ... + 14064.

Almost surely, 285152690 is an apocalyptic number.

85152690 is an abundant number, since it is smaller than the sum of its proper divisors (172404090).

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

85152690 is a wasteful number, since it uses less digits than its factorization.

85152690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19336 (or 19326 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 85152690 is about 9227.8215197304. The cubic root of 85152690 is about 439.9460849916.

The spelling of 85152690 in words is "eighty-five million, one hundred fifty-two thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 19309 38618 57927 96545 115854 135163 173781 193090 270326 289635 347562 405489 579270 675815 810978 868905 946141 1216467 1351630 1737810 1892282 2027445 2432934 2838423 4054890 4730705 5676846 6082335 8515269 9461410 12164670 14192115 17030538 28384230 42576345 85152690