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853668864 = 21032211439
BaseRepresentation
bin110010111000011…
…111010000000000
32012111022212112100
4302320133100000
53222014400424
6220413030400
730104031336
oct6270372000
92174285470
10853668864
113a8968064
121b9a85400
13107b24209
1481539b56
154ee28dc9
hex32e1f400

853668864 has 132 divisors (see below), whose sum is σ = 2482274080. Its totient is φ = 282562560.

The previous prime is 853668863. The next prime is 853668877. The reversal of 853668864 is 468866358.

It is a self number, because there is not a number n which added to its sum of digits gives 853668864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853668863) 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, 1944357 + ... + 1944795.

Almost surely, 2853668864 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 853668864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241137040).

853668864 is an abundant number, since it is smaller than the sum of its proper divisors (1628605216).

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

853668864 is a wasteful number, since it uses less digits than its factorization.

853668864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 655 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 853668864 is about 29217.6122227673. The cubic root of 853668864 is about 948.6291822801.

The spelling of 853668864 in words is "eight hundred fifty-three million, six hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 211 256 288 384 422 439 512 576 633 768 844 878 1024 1152 1266 1317 1536 1688 1756 1899 2304 2532 2634 3072 3376 3512 3798 3951 4608 5064 5268 6752 7024 7596 7902 9216 10128 10536 13504 14048 15192 15804 20256 21072 27008 28096 30384 31608 40512 42144 54016 56192 60768 63216 81024 84288 92629 108032 112384 121536 126432 162048 168576 185258 216064 224768 243072 252864 277887 324096 337152 370516 449536 486144 505728 555774 648192 674304 741032 833661 972288 1011456 1111548 1348608 1482064 1667322 1944576 2022912 2223096 2964128 3334644 4045824 4446192 5928256 6669288 8892384 11856512 13338576 17784768 23713024 26677152 35569536 47426048 53354304 71139072 94852096 106708608 142278144 213417216 284556288 426834432 853668864