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845131032 = 233241674273
BaseRepresentation
bin110010010111111…
…010110100011000
32011220021002211100
4302113322310120
53212323143112
6215510031400
726641331604
oct6227726430
92156232740
10845131032
113a40664a9
121b7048560
13106125045
1480356504
154e2de2dc
hex325fad18

845131032 has 96 divisors (see below), whose sum is σ = 2380276080. Its totient is φ = 270673920.

The previous prime is 845130989. The next prime is 845131037. The reversal of 845131032 is 230131548.

It is a happy number.

It is a super-2 number, since 2×8451310322 = 1428492922498770048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 845130987 and 845131005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845131037) 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, 195648 + ... + 199920.

Almost surely, 2845131032 is an apocalyptic number.

845131032 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 845131032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190138040).

845131032 is an abundant number, since it is smaller than the sum of its proper divisors (1535145048).

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

845131032 is a wasteful number, since it uses less digits than its factorization.

845131032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4393 (or 4386 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 845131032 is about 29071.1374390477. The cubic root of 845131032 is about 945.4560593687.

The spelling of 845131032 in words is "eight hundred forty-five million, one hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 67 72 82 123 134 164 201 246 268 328 369 402 492 536 603 738 804 984 1206 1476 1608 2412 2747 2952 4273 4824 5494 8241 8546 10988 12819 16482 17092 21976 24723 25638 32964 34184 38457 49446 51276 65928 76914 98892 102552 153828 175193 197784 286291 307656 350386 525579 572582 700772 858873 1051158 1145164 1401544 1576737 1717746 2102316 2290328 2576619 3153474 3435492 4204632 5153238 6306948 6870984 10306476 11737931 12613896 20612952 23475862 35213793 46951724 70427586 93903448 105641379 140855172 211282758 281710344 422565516 845131032