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85137557 = 5314910781
BaseRepresentation
bin1010001001100…
…01100010010101
312221012102202212
411010301202111
5133243400212
612240443205
72052441311
oct504614225
9187172685
1085137557
114407011a
1224619505
131483b96b
14b442b41
15771ae22
hex5131895

85137557 has 8 divisors (see below), whose sum is σ = 87334200. Its totient is φ = 82962880.

The previous prime is 85137553. The next prime is 85137583. The reversal of 85137557 is 75573158.

It can be written as a sum of positive squares in 4 ways, for example, as 2709316 + 82428241 = 1646^2 + 9079^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85137557 - 22 = 85137553 is a prime.

It is a super-2 number, since 2×851375572 = 14496807223856498, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85137553) 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 7 ways as a sum of consecutive naturals, for example, 2507 + ... + 13287.

It is an arithmetic number, because the mean of its divisors is an integer number (10916775).

Almost surely, 285137557 is an apocalyptic number.

It is an amenable number.

85137557 is a deficient number, since it is larger than the sum of its proper divisors (2196643).

85137557 is a wasteful number, since it uses less digits than its factorization.

85137557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10983.

The product of its digits is 147000, while the sum is 41.

The square root of 85137557 is about 9227.0015172861. The cubic root of 85137557 is about 439.9200216203.

The spelling of 85137557 in words is "eighty-five million, one hundred thirty-seven thousand, five hundred fifty-seven".

Divisors: 1 53 149 7897 10781 571393 1606369 85137557