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873522468 = 223471324353
BaseRepresentation
bin110100000100001…
…110010100100100
32020212200112120000
4310010032110210
53242110204333
6222402341300
730434550510
oct6404162444
92225615500
10873522468
114090983a5
1220465a830
1310bc85b00
1484027140
1551a4b713
hex3410e524

873522468 has 360 divisors, whose sum is σ = 2946259008. Its totient is φ = 220776192.

The previous prime is 873522457. The next prime is 873522469. The reversal of 873522468 is 864225378.

873522468 is a `hidden beast` number, since 87 + 3 + 522 + 46 + 8 = 666.

It is a super-2 number, since 2×8735224682 = 1526083004201622048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (873522469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16481530 + ... + 16481582.

Almost surely, 2873522468 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 873522468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473129504).

873522468 is an abundant number, since it is smaller than the sum of its proper divisors (2072736540).

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

873522468 is a wasteful number, since it uses less digits than its factorization.

873522468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 121 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 873522468 is about 29555.4135142786. The cubic root of 873522468 is about 955.9269229226.

The spelling of 873522468 in words is "eight hundred seventy-three million, five hundred twenty-two thousand, four hundred sixty-eight".