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852022152 = 2335716173
BaseRepresentation
bin110010110010001…
…101001110001000
32012101020012200000
4302302031032020
53221104202102
6220313443000
730054032412
oct6262151610
92171205600
10852022152
113a7a42943
121b9410460
13107698827
148122b9b2
154ec0101c
hex32c8d388

852022152 has 96 divisors (see below), whose sum is σ = 2427122880. Its totient is φ = 279961920.

The previous prime is 852022151. The next prime is 852022177. The reversal of 852022152 is 251220258.

It is a super-2 number, since 2×8520221522 = 1451883494997422208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (852022151) 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 23 ways as a sum of consecutive naturals, for example, 134938 + ... + 141110.

It is an arithmetic number, because the mean of its divisors is an integer number (25282530).

Almost surely, 2852022152 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 852022152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213561440).

852022152 is an abundant number, since it is smaller than the sum of its proper divisors (1575100728).

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

852022152 is a wasteful number, since it uses less digits than its factorization.

852022152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6265 (or 6249 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 852022152 is about 29189.4184936939. The cubic root of 852022152 is about 948.0188267371.

The spelling of 852022152 in words is "eight hundred fifty-two million, twenty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 81 108 142 162 213 216 243 284 324 426 486 568 639 648 852 972 1278 1704 1917 1944 2556 3834 5112 5751 6173 7668 11502 12346 15336 17253 18519 23004 24692 34506 37038 46008 49384 55557 69012 74076 111114 138024 148152 166671 222228 333342 438283 444456 500013 666684 876566 1000026 1314849 1333368 1500039 1753132 2000052 2629698 3000078 3506264 3944547 4000104 5259396 6000156 7889094 10518792 11833641 12000312 15778188 23667282 31556376 35500923 47334564 71001846 94669128 106502769 142003692 213005538 284007384 426011076 852022152