Search a number
-
+
85237520 = 2451065469
BaseRepresentation
bin1010001010010…
…01111100010000
312221101111220012
411011021330100
5133310100040
612242534052
72053335614
oct505117420
9187344805
1085237520
1144129235
1224667328
1314875304
14b46b344
15773a865
hex5149f10

85237520 has 20 divisors (see below), whose sum is σ = 198177420. Its totient is φ = 34094976.

The previous prime is 85237519. The next prime is 85237549. The reversal of 85237520 is 2573258.

It can be written as a sum of positive squares in 2 ways, for example, as 52243984 + 32993536 = 7228^2 + 5744^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 532655 + ... + 532814.

It is an arithmetic number, because the mean of its divisors is an integer number (9908871).

Almost surely, 285237520 is an apocalyptic number.

85237520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85237520 is an abundant number, since it is smaller than the sum of its proper divisors (112939900).

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

85237520 is a wasteful number, since it uses less digits than its factorization.

85237520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065482 (or 1065476 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 85237520 is about 9232.4168016831. The cubic root of 85237520 is about 440.0921294684.

The spelling of 85237520 in words is "eighty-five million, two hundred thirty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1065469 2130938 4261876 5327345 8523752 10654690 17047504 21309380 42618760 85237520