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817145912 = 231122333623
BaseRepresentation
bin110000101101001…
…010100000111000
32002221121022110102
4300231022200320
53133142132122
6213030134532
726151424412
oct6055124070
92087538412
10817145912
1138a291900
121a97b1448
131003a71bb
147a74d9b2
154bb12492
hex30b4a838

817145912 has 48 divisors (see below), whose sum is σ = 1691791920. Its totient is φ = 369733760.

The previous prime is 817145911. The next prime is 817145983. The reversal of 817145912 is 219541718.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (817145911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223733 + ... + 227355.

It is an arithmetic number, because the mean of its divisors is an integer number (35245665).

Almost surely, 2817145912 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 817145912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845895960).

817145912 is an abundant number, since it is smaller than the sum of its proper divisors (874646008).

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

817145912 is a wasteful number, since it uses less digits than its factorization.

817145912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 3869 counting only the distinct ones).

The product of its digits is 20160, while the sum is 38.

The square root of 817145912 is about 28585.7641493104. The cubic root of 817145912 is about 934.9029657087.

The spelling of 817145912 in words is "eight hundred seventeen million, one hundred forty-five thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 121 233 242 466 484 932 968 1864 2563 3623 5126 7246 10252 14492 20504 28193 28984 39853 56386 79706 112772 159412 225544 318824 438383 844159 876766 1688318 1753532 3376636 3507064 6753272 9285749 18571498 37142996 74285992 102143239 204286478 408572956 817145912