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85488336 = 24321394271
BaseRepresentation
bin1010001100001…
…11001011010000
312221212020221200
411012013023100
5133341111321
612252151200
72055432063
oct506071320
9187766850
1085488336
114428a71a
1224768500
131493251b
14b4d48da
157789d26
hex51872d0

85488336 has 60 divisors (see below), whose sum is σ = 241026240. Its totient is φ = 28284480.

The previous prime is 85488313. The next prime is 85488383. The reversal of 85488336 is 63388458.

It is a junction number, because it is equal to n+sod(n) for n = 85488291 and 85488300.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 17881 + ... + 22151.

It is an arithmetic number, because the mean of its divisors is an integer number (4017104).

Almost surely, 285488336 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 85488336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120513120).

85488336 is an abundant number, since it is smaller than the sum of its proper divisors (155537904).

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

85488336 is a wasteful number, since it uses less digits than its factorization.

85488336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424 (or 4415 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 85488336 is about 9245.9902660559. The cubic root of 85488336 is about 440.5233717028.

The spelling of 85488336 in words is "eighty-five million, four hundred eighty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 556 834 1112 1251 1668 2224 2502 3336 4271 5004 6672 8542 10008 12813 17084 20016 25626 34168 38439 51252 68336 76878 102504 153756 205008 307512 593669 615024 1187338 1781007 2374676 3562014 4749352 5343021 7124028 9498704 10686042 14248056 21372084 28496112 42744168 85488336