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859435068 = 2231729532741
BaseRepresentation
bin110011001110011…
…111000000111100
32012220011211021110
4303032133000330
53230003410233
6221140402020
730204035412
oct6316370074
92186154243
10859435068
11401146318
121bb9a6310
1310909297b
14821db2b2
15506b7663
hex3339f03c

859435068 has 96 divisors (see below), whose sum is σ = 2238788160. Its totient is φ = 255324160.

The previous prime is 859435067. The next prime is 859435069. The reversal of 859435068 is 860534958.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (859435067) and next prime (859435069).

It is a super-2 number, since 2×8594350682 = 1477257272216329248, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (859435067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312178 + ... + 314918.

It is an arithmetic number, because the mean of its divisors is an integer number (23320710).

Almost surely, 2859435068 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 859435068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119394080).

859435068 is an abundant number, since it is smaller than the sum of its proper divisors (1379353092).

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

859435068 is a wasteful number, since it uses less digits than its factorization.

859435068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 859435068 is about 29316.1230042446. The cubic root of 859435068 is about 950.7602660196.

The spelling of 859435068 in words is "eight hundred fifty-nine million, four hundred thirty-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 17 29 34 51 53 58 68 87 102 106 116 159 174 204 212 318 348 493 636 901 986 1479 1537 1802 1972 2703 2741 2958 3074 3604 4611 5406 5482 5916 6148 8223 9222 10812 10964 16446 18444 26129 32892 46597 52258 78387 79489 93194 104516 139791 145273 156774 158978 186388 238467 279582 290546 313548 317956 435819 476934 559164 581092 871638 953868 1351313 1743276 2469641 2702626 4053939 4212917 4939282 5405252 7408923 8107878 8425834 9878564 12638751 14817846 16215756 16851668 25277502 29635692 50555004 71619589 143239178 214858767 286478356 429717534 859435068