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842432952 = 233433492339
BaseRepresentation
bin110010001101101…
…000000110111000
32011201012000202110
4302031220012320
53211130323302
6215332132320
726606363514
oct6215500670
92151160673
10842432952
113a2593389
121b61670a0
131056bbc4a
147dc53144
154de59b6c
hex323681b8

842432952 has 64 divisors (see below), whose sum is σ = 2162160000. Its totient is φ = 273377664.

The previous prime is 842432947. The next prime is 842432959. The reversal of 842432952 is 259234248.

It is a self number, because there is not a number n which added to its sum of digits gives 842432952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842432959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358999 + ... + 361337.

It is an arithmetic number, because the mean of its divisors is an integer number (33783750).

Almost surely, 2842432952 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 842432952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081080000).

842432952 is an abundant number, since it is smaller than the sum of its proper divisors (1319727048).

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

842432952 is a wasteful number, since it uses less digits than its factorization.

842432952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2736 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 842432952 is about 29024.6955539589. The cubic root of 842432952 is about 944.4488642664.

The spelling of 842432952 in words is "eight hundred forty-two million, four hundred thirty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 349 516 698 1032 1047 1396 2094 2339 2792 4188 4678 7017 8376 9356 14034 15007 18712 28068 30014 45021 56136 60028 90042 100577 120056 180084 201154 301731 360168 402308 603462 804616 816311 1206924 1632622 2413848 2448933 3265244 4897866 6530488 9795732 19591464 35101373 70202746 105304119 140405492 210608238 280810984 421216476 842432952