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852117894 = 23617311109
BaseRepresentation
bin110010110010100…
…100100110000110
32012101102002000000
4302302210212012
53221120233034
6220315502130
730054611505
oct6262444606
92171362000
10852117894
113a7aa8871
121b9457946
13107700294
148125483c
154ec1e599
hex32ca4986

852117894 has 112 divisors (see below), whose sum is σ = 2096461440. Its totient is φ = 258474240.

The previous prime is 852117887. The next prime is 852117983. The reversal of 852117894 is 498711258.

It is a super-2 number, since 2×8521178942 = 1452209810549990472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 767812 + ... + 768920.

Almost surely, 2852117894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852117894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048230720).

852117894 is an abundant number, since it is smaller than the sum of its proper divisors (1244343546).

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

852117894 is a wasteful number, since it uses less digits than its factorization.

852117894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1162 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 852117894 is about 29191.0584597407. The cubic root of 852117894 is about 948.0543351328.

The spelling of 852117894 in words is "eight hundred fifty-two million, one hundred seventeen thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 81 93 102 153 162 186 243 279 306 459 486 527 558 729 837 918 1054 1109 1377 1458 1581 1674 2218 2511 2754 3162 3327 4131 4743 5022 6654 7533 8262 9486 9981 12393 14229 15066 18853 19962 22599 24786 28458 29943 34379 37706 42687 45198 56559 59886 68758 85374 89829 103137 113118 128061 169677 179658 206274 256122 269487 309411 339354 384183 509031 538974 584443 618822 768366 808461 928233 1018062 1168886 1527093 1616922 1753329 1856466 2784699 3054186 3506658 4581279 5259987 5569398 8354097 9162558 10519974 13743837 15779961 16708194 25062291 27487674 31559922 47339883 50124582 94679766 142019649 284039298 426058947 852117894