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85816542 = 23752337
BaseRepresentation
bin1010001110101…
…11010011011110
312222110221011110
411013113103132
5133432112132
612303202450
72061300000
oct507272336
9188427143
1085816542
1144494269
12248a6426
1314a18a26
14b57c370
1578021cc
hex51d74de

85816542 has 96 divisors (see below), whose sum is σ = 214589952. Its totient is φ = 22819104.

The previous prime is 85816529. The next prime is 85816547. The reversal of 85816542 is 24561858.

It is a super-3 number, since 3×858165423 (a number of 25 digits) contains 333 as substring.

Its product of digits (76800) is a multiple of the sum of its prime factors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 85816542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85816547) 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, 2319348 + ... + 2319384.

It is an arithmetic number, because the mean of its divisors is an integer number (2235312).

Almost surely, 285816542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85816542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107294976).

85816542 is an abundant number, since it is smaller than the sum of its proper divisors (128773410).

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

85816542 is an equidigital number, since it uses as much as digits as its factorization.

85816542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 72 counting only the distinct ones).

The product of its digits is 76800, while the sum is 39.

The square root of 85816542 is about 9263.7218222483. The cubic root of 85816542 is about 441.0864028235.

The spelling of 85816542 in words is "eighty-five million, eight hundred sixteen thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 37 42 46 49 69 74 98 111 138 147 161 222 259 294 322 343 483 518 686 777 851 966 1029 1127 1554 1702 1813 2058 2254 2401 2553 3381 3626 4802 5106 5439 5957 6762 7203 7889 10878 11914 12691 14406 15778 16807 17871 23667 25382 33614 35742 38073 41699 47334 50421 55223 76146 83398 88837 100842 110446 125097 165669 177674 250194 266511 291893 331338 386561 533022 583786 621859 773122 875679 1159683 1243718 1751358 1865577 2043251 2319366 3731154 4086502 6129753 12259506 14302757 28605514 42908271 85816542