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85113248 = 25112310513
BaseRepresentation
bin1010001001010…
…11100110100000
312221011012102112
411010223212200
5133242110443
612240134452
72052310403
oct504534640
9187135375
1085113248
1144053930
1224607428
131483088c
14b437d3a
157713b18
hex512b9a0

85113248 has 48 divisors (see below), whose sum is σ = 190766016. Its totient is φ = 37002240.

The previous prime is 85113233. The next prime is 85113313. The reversal of 85113248 is 84231158.

Added to its reverse (84231158) it gives a triangular number (169344406 = T18403).

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 2840 + ... + 13352.

It is an arithmetic number, because the mean of its divisors is an integer number (3974292).

Almost surely, 285113248 is an apocalyptic number.

85113248 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85113248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95383008).

85113248 is an abundant number, since it is smaller than the sum of its proper divisors (105652768).

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

85113248 is a wasteful number, since it uses less digits than its factorization.

85113248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10557 (or 10549 counting only the distinct ones).

The product of its digits is 7680, while the sum is 32.

The square root of 85113248 is about 9225.6841480727. The cubic root of 85113248 is about 439.8781480761.

Adding to 85113248 its reverse (84231158), we get a triangular number (169344406 = T18403).

The spelling of 85113248 in words is "eighty-five million, one hundred thirteen thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 2024 4048 8096 10513 21026 42052 84104 115643 168208 231286 241799 336416 462572 483598 925144 967196 1850288 1934392 2659789 3700576 3868784 5319578 7737568 10639156 21278312 42556624 85113248