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856191232 = 28133143193
BaseRepresentation
bin110011000010000…
…111000100000000
32012200002000120101
4303002013010000
53223141104412
6220543052144
730134335231
oct6302070400
92180060511
10856191232
113aa330166
121ba8a1054
131084c8340
14819d5088
1550276457
hex33087100

856191232 has 144 divisors (see below), whose sum is σ = 1954129408. Its totient is φ = 371589120.

The previous prime is 856191229. The next prime is 856191239. The reversal of 856191232 is 232191658.

It is a junction number, because it is equal to n+sod(n) for n = 856191191 and 856191200.

It is not an unprimeable number, because it can be changed into a prime (856191239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4436128 + ... + 4436320.

Almost surely, 2856191232 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 856191232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977064704).

856191232 is an abundant number, since it is smaller than the sum of its proper divisors (1097938176).

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

856191232 is a wasteful number, since it uses less digits than its factorization.

856191232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 282 counting only the distinct ones).

The product of its digits is 25920, while the sum is 37.

The square root of 856191232 is about 29260.7455817517. The cubic root of 856191232 is about 949.5625805269.

The spelling of 856191232 in words is "eight hundred fifty-six million, one hundred ninety-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 31 32 43 52 62 64 86 104 124 128 172 193 208 248 256 344 386 403 416 496 559 688 772 806 832 992 1118 1333 1376 1544 1612 1664 1984 2236 2509 2666 2752 3088 3224 3328 3968 4472 5018 5332 5504 5983 6176 6448 7936 8299 8944 10036 10664 11008 11966 12352 12896 16598 17329 17888 20072 21328 23932 24704 25792 33196 34658 35776 40144 42656 47864 49408 51584 66392 69316 71552 77779 80288 85312 95728 103168 107887 132784 138632 143104 155558 160576 170624 191456 215774 257269 265568 277264 311116 321152 341248 382912 431548 514538 531136 554528 622232 642304 765824 863096 1029076 1062272 1109056 1244464 1531648 1726192 2058152 2124544 2218112 2488928 3344497 3452384 4116304 4436224 4977856 6688994 6904768 8232608 9955712 13377988 13809536 16465216 19911424 26755976 27619072 32930432 53511952 65860864 107023904 214047808 428095616 856191232