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830526872 = 237223251367
BaseRepresentation
bin110001100000001…
…101010110011000
32010212210010200112
4301200031112120
53200103324442
6214225023452
726403235100
oct6140152630
92125703615
10830526872
113968a114a
121b2184b88
131030b0926
147c434200
154cda7082
hex3180d598

830526872 has 96 divisors (see below), whose sum is σ = 1902942720. Its totient is φ = 338184000.

The previous prime is 830526871. The next prime is 830526877. The reversal of 830526872 is 278625038.

It is a super-2 number, since 2×8305268722 = 1379549770228208768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830526871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2262833 + ... + 2263199.

It is an arithmetic number, because the mean of its divisors is an integer number (19822320).

Almost surely, 2830526872 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 830526872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951471360).

830526872 is an abundant number, since it is smaller than the sum of its proper divisors (1072415848).

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

830526872 is a wasteful number, since it uses less digits than its factorization.

830526872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 830526872 is about 28818.8631281666. The cubic root of 830526872 is about 939.9784482761.

The spelling of 830526872 in words is "eight hundred thirty million, five hundred twenty-six thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 92 98 161 184 196 251 322 367 392 502 644 734 1004 1127 1288 1468 1757 2008 2254 2569 2936 3514 4508 5138 5773 7028 8441 9016 10276 11546 12299 14056 16882 17983 20552 23092 24598 33764 35966 40411 46184 49196 59087 67528 71932 80822 92117 98392 118174 143864 161644 184234 236348 282877 323288 368468 413609 472696 565754 644819 736936 827218 1131508 1289638 1654436 2118691 2263016 2579276 3308872 4237382 4513733 5158552 8474764 9027466 14830837 16949528 18054932 29661674 36109864 59323348 103815859 118646696 207631718 415263436 830526872