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852349472 = 251323972
BaseRepresentation
bin110010110011011…
…101001000100000
32012101211211122222
4302303131020200
53221200140342
6220324450212
730056564612
oct6263351040
92171754588
10852349472
113a8146857
121b9549968
13107781800
14812b4db2
154ec67ed2
hex32cdd220

852349472 has 54 divisors (see below), whose sum is σ = 1821662703. Its totient is φ = 392401152.

The previous prime is 852349457. The next prime is 852349489. The reversal of 852349472 is 274943258.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 246992656 + 605356816 = 15716^2 + 24604^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=20644.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2146778 + ... + 2147174.

Almost surely, 2852349472 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 852349472

852349472 is an abundant number, since it is smaller than the sum of its proper divisors (969313231).

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

852349472 is an equidigital number, since it uses as much as digits as its factorization.

852349472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 412 counting only the distinct ones).

The product of its digits is 483840, while the sum is 44.

The square root of 852349472 is about 29195.0247816302. The cubic root of 852349472 is about 948.1402108246.

The spelling of 852349472 in words is "eight hundred fifty-two million, three hundred forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 397 416 676 794 1352 1588 2704 3176 5161 5408 6352 10322 12704 20644 41288 67093 82576 134186 157609 165152 268372 315218 536744 630436 1073488 1260872 2048917 2146976 2521744 4097834 5043488 8195668 16391336 26635921 32782672 53271842 65565344 106543684 213087368 426174736 852349472