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85147848 = 23341011301
BaseRepresentation
bin1010001001101…
…00000011001000
312221012221220000
411010310003020
5133244212343
612241003000
72052513312
oct504640310
9187187800
1085147848
1144077925
1224623460
1314843556
14b4467b2
15771ded3
hex51340c8

85147848 has 80 divisors (see below), whose sum is σ = 241039260. Its totient is φ = 28080000.

The previous prime is 85147847. The next prime is 85147871. The reversal of 85147848 is 84874158.

It can be written as a sum of positive squares in 2 ways, for example, as 84603204 + 544644 = 9198^2 + 738^2 .

It is a super-2 number, since 2×851478482 = 14500312038062208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85147847) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64798 + ... + 66098.

Almost surely, 285147848 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 85147848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120519630).

85147848 is an abundant number, since it is smaller than the sum of its proper divisors (155891412).

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

85147848 is a wasteful number, since it uses less digits than its factorization.

85147848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1407 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 85147848 is about 9227.5591572203. The cubic root of 85147848 is about 439.9377460133.

The spelling of 85147848 in words is "eighty-five million, one hundred forty-seven thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 101 108 162 202 216 303 324 404 606 648 808 909 1212 1301 1818 2424 2602 2727 3636 3903 5204 5454 7272 7806 8181 10408 10908 11709 15612 16362 21816 23418 31224 32724 35127 46836 65448 70254 93672 105381 131401 140508 210762 262802 281016 394203 421524 525604 788406 843048 1051208 1182609 1576812 2365218 3153624 3547827 4730436 7095654 9460872 10643481 14191308 21286962 28382616 42573924 85147848