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85123392 = 263479433
BaseRepresentation
bin1010001001011…
…10000101000000
312221011201100020
411010232011000
5133242422032
612240253440
72052352104
oct504560500
9187151306
1085123392
1144060512
1224611280
1314835393
14b43b904
157716b2c
hex512e140

85123392 has 56 divisors (see below), whose sum is σ = 230038656. Its totient is φ = 27767808.

The previous prime is 85123373. The next prime is 85123397. The reversal of 85123392 is 29332158.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85123397) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4308 + ... + 13740.

Almost surely, 285123392 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 85123392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115019328).

85123392 is an abundant number, since it is smaller than the sum of its proper divisors (144915264).

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

85123392 is a wasteful number, since it uses less digits than its factorization.

85123392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9495 (or 9485 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 85123392 is about 9226.2339012188. The cubic root of 85123392 is about 439.8956226243.

The spelling of 85123392 in words is "eighty-five million, one hundred twenty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 3008 4512 9024 9433 18866 28299 37732 56598 75464 113196 150928 226392 301856 443351 452784 603712 886702 905568 1330053 1773404 1811136 2660106 3546808 5320212 7093616 10640424 14187232 21280848 28374464 42561696 85123392