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842857272 = 233331112547
BaseRepresentation
bin110010001111001…
…111101100111000
32011201222120211000
4302033033230320
53211232413042
6215345205000
726613111555
oct6217175470
92151876730
10842857272
113a2853164
121b6330760
1310580a11a
147dd23a2c
154dee074c
hex323cfb38

842857272 has 64 divisors (see below), whose sum is σ = 2348985600. Its totient is φ = 280026720.

The previous prime is 842857237. The next prime is 842857273. The reversal of 842857272 is 272758248.

842857272 is a `hidden beast` number, since 8 + 4 + 2 + 8 + 572 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842857273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60903 + ... + 73449.

It is an arithmetic number, because the mean of its divisors is an integer number (36702900).

Almost surely, 2842857272 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 842857272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174492800).

842857272 is an abundant number, since it is smaller than the sum of its proper divisors (1506128328).

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

842857272 is a wasteful number, since it uses less digits than its factorization.

842857272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12873 (or 12863 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 842857272 is about 29032.0042711488. The cubic root of 842857272 is about 944.6074055787.

The spelling of 842857272 in words is "eight hundred forty-two million, eight hundred fifty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 311 622 933 1244 1866 2488 2799 3732 5598 7464 8397 11196 12547 16794 22392 25094 33588 37641 50188 67176 75282 100376 112923 150564 225846 301128 338769 451692 677538 903384 1355076 2710152 3902117 7804234 11706351 15608468 23412702 31216936 35119053 46825404 70238106 93650808 105357159 140476212 210714318 280952424 421428636 842857272