Search a number
-
+
85685472 = 253399173
BaseRepresentation
bin1010001101101…
…11010011100000
312222020021101000
411012313103200
5133413413342
612300312000
72060212605
oct506672340
9188207330
1085685472
1144404844
1224842600
13149a1182
14b5466ac
1577c844c
hex51b74e0

85685472 has 48 divisors (see below), whose sum is σ = 249918480. Its totient is φ = 28561536.

The previous prime is 85685461. The next prime is 85685473. The reversal of 85685472 is 27458658.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×856854722 = 14684000223725568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85685473) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 48723 + ... + 50450.

It is an arithmetic number, because the mean of its divisors is an integer number (5206635).

Almost surely, 285685472 is an apocalyptic number.

It is an amenable number.

85685472 is an abundant number, since it is smaller than the sum of its proper divisors (164233008).

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

85685472 is a wasteful number, since it uses less digits than its factorization.

85685472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99192 (or 99178 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 85685472 is about 9256.6447485036. The cubic root of 85685472 is about 440.8617272085.

The spelling of 85685472 in words is "eighty-five million, six hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 99173 198346 297519 396692 595038 793384 892557 1190076 1586768 1785114 2380152 2677671 3173536 3570228 4760304 5355342 7140456 9520608 10710684 14280912 21421368 28561824 42842736 85685472