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831265152 = 2732638231
BaseRepresentation
bin110001100011000…
…001100110000000
32010221011122102020
4301203001212000
53200300441102
6214252521440
726412431364
oct6143014600
92127148366
10831265152
113972558a3
121b2480280
131032ab993
147c5872a4
154cea0bbc
hex318c1980

831265152 has 64 divisors (see below), whose sum is σ = 2216712960. Its totient is φ = 276001280.

The previous prime is 831265151. The next prime is 831265271. The reversal of 831265152 is 251562138.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (831265151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96877 + ... + 105107.

It is an arithmetic number, because the mean of its divisors is an integer number (34636140).

Almost surely, 2831265152 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 831265152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108356480).

831265152 is an abundant number, since it is smaller than the sum of its proper divisors (1385447808).

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

831265152 is a wasteful number, since it uses less digits than its factorization.

831265152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8511 (or 8499 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 831265152 is about 28831.6692544847. The cubic root of 831265152 is about 940.2568907059.

The spelling of 831265152 in words is "eight hundred thirty-one million, two hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 263 384 526 789 1052 1578 2104 3156 4208 6312 8231 8416 12624 16462 16832 24693 25248 32924 33664 49386 50496 65848 98772 100992 131696 197544 263392 395088 526784 790176 1053568 1580352 2164753 3160704 4329506 6494259 8659012 12988518 17318024 25977036 34636048 51954072 69272096 103908144 138544192 207816288 277088384 415632576 831265152