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85355088 = 24371319541
BaseRepresentation
bin1010001011001…
…10101001010000
312221121111011120
411011212221100
5133322330323
612245242240
72054335440
oct505465120
9187544146
1085355088
11441a95a5
1224703380
13148b6990
14b49c120
1577605e3
hex5166a50

85355088 has 80 divisors (see below), whose sum is σ = 271399296. Its totient is φ = 22510080.

The previous prime is 85355063. The next prime is 85355089. The reversal of 85355088 is 88055358.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85355089) 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 15 ways as a sum of consecutive naturals, for example, 5403 + ... + 14138.

Almost surely, 285355088 is an apocalyptic number.

It is an amenable number.

85355088 is an abundant number, since it is smaller than the sum of its proper divisors (186044208).

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

85355088 is a wasteful number, since it uses less digits than its factorization.

85355088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19572 (or 19566 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 42.

The square root of 85355088 is about 9238.7817378700. The cubic root of 85355088 is about 440.2943760106.

The spelling of 85355088 in words is "eighty-five million, three hundred fifty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 19541 39082 58623 78164 117246 136787 156328 234492 254033 273574 312656 410361 468984 508066 547148 762099 820722 937968 1016132 1094296 1524198 1641444 1778231 2032264 2188592 3048396 3282888 3556462 4064528 5334693 6096792 6565776 7112924 10669386 12193584 14225848 21338772 28451696 42677544 85355088