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85804516 = 22747113577
BaseRepresentation
bin1010001110101…
…00010111100100
312222110022200001
411013110113210
5133431221031
612303031044
72061216640
oct507242744
9188408601
1085804516
1144486226
122489b484
1314a13405
14b577c20
1577ed861
hex51d45e4

85804516 has 48 divisors (see below), whose sum is σ = 177117696. Its totient is φ = 35610624.

The previous prime is 85804501. The next prime is 85804541. The reversal of 85804516 is 61540858.

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 15 ways as a sum of consecutive naturals, for example, 148420 + ... + 148996.

It is an arithmetic number, because the mean of its divisors is an integer number (3689952).

Almost surely, 285804516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85804516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88558848).

85804516 is an abundant number, since it is smaller than the sum of its proper divisors (91313180).

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

85804516 is a wasteful number, since it uses less digits than its factorization.

85804516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 85804516 is about 9263.0727083404. The cubic root of 85804516 is about 441.0657978106.

It can be divided in two parts, 85804 and 516, that added together give a triangular number (86320 = T415).

The spelling of 85804516 in words is "eighty-five million, eight hundred four thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 28 47 94 113 188 226 329 452 577 658 791 1154 1316 1582 2308 3164 4039 5311 8078 10622 16156 21244 27119 37177 54238 65201 74354 108476 130402 148708 189833 260804 379666 456407 759332 912814 1825628 3064447 6128894 12257788 21451129 42902258 85804516