Search a number
-
+
85662528 = 263763737
BaseRepresentation
bin1010001101100…
…01101101000000
312222012002220020
411012301231000
5133412200103
612300013440
72060055660
oct506615500
9188162806
1085662528
1144399586
1224831280
13149938b3
14b53c1a0
1577c1753
hex51b1b40

85662528 has 56 divisors (see below), whose sum is σ = 259031232. Its totient is φ = 24474624.

The previous prime is 85662523. The next prime is 85662539. The reversal of 85662528 is 82526658.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 85662528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85662523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30525 + ... + 33212.

Almost surely, 285662528 is an apocalyptic number.

It is an amenable number.

85662528 is an abundant number, since it is smaller than the sum of its proper divisors (173368704).

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

85662528 is a wasteful number, since it uses less digits than its factorization.

85662528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63759 (or 63749 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 85662528 is about 9255.4053395840. The cubic root of 85662528 is about 440.8223738455.

The spelling of 85662528 in words is "eighty-five million, six hundred sixty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 63737 127474 191211 254948 382422 446159 509896 764844 892318 1019792 1338477 1529688 1784636 2039584 2676954 3059376 3569272 4079168 5353908 6118752 7138544 10707816 12237504 14277088 21415632 28554176 42831264 85662528