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842140672 = 2106411283
BaseRepresentation
bin110010001100100…
…000110000000000
32011200122011211021
4302030200300000
53211042000142
6215321555224
726604035422
oct6214406000
92150564737
10842140672
113a240382a
121b6045b14
13105618bb9
147dbb8812
154dded267
hex32320c00

842140672 has 44 divisors (see below), whose sum is σ = 1687399416. Its totient is φ = 420085760.

The previous prime is 842140643. The next prime is 842140687. The reversal of 842140672 is 276041248.

It is a happy number.

It is a super-3 number, since 3×8421406723 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 655743 + ... + 657025.

Almost surely, 2842140672 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 842140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843699708).

842140672 is an abundant number, since it is smaller than the sum of its proper divisors (845258744).

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

842140672 is a wasteful number, since it uses less digits than its factorization.

842140672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 842140672 is about 29019.6600944946. The cubic root of 842140672 is about 944.3396269106.

The spelling of 842140672 in words is "eight hundred forty-two million, one hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 641 1024 1282 1283 2564 2566 5128 5132 10256 10264 20512 20528 41024 41056 82048 82112 164096 164224 328192 328448 656384 656896 822403 1313792 1644806 3289612 6579224 13158448 26316896 52633792 105267584 210535168 421070336 842140672