Search a number
-
+
168992082 = 2347261349
BaseRepresentation
bin10100001001010…
…01110101010010
3102202222200120000
422010221311102
5321230221312
624434030430
74121260200
oct1204516522
9382880500
10168992082
1187434286
1248718416
132901b61c
1418630070
15ec81adc
hexa129d52

168992082 has 120 divisors (see below), whose sum is σ = 448994700. Its totient is φ = 47355840.

The previous prime is 168992071. The next prime is 168992093. The reversal of 168992082 is 280299861.

It is an interprime number because it is at equal distance from previous prime (168992071) and next prime (168992093).

It can be written as a sum of positive squares in 2 ways, for example, as 163558521 + 5433561 = 12789^2 + 2331^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 484044 + ... + 484392.

Almost surely, 2168992082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168992082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224497350).

168992082 is an abundant number, since it is smaller than the sum of its proper divisors (280002618).

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

168992082 is a wasteful number, since it uses less digits than its factorization.

168992082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 168992082 is about 12999.6954579713. The cubic root of 168992082 is about 552.8688467480.

It can be divided in two parts, 16899 and 2082, that added together give a palindrome (18981).

The spelling of 168992082 in words is "one hundred sixty-eight million, nine hundred ninety-two thousand, eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 61 63 81 98 122 126 147 162 183 189 294 349 366 378 427 441 549 567 698 854 882 1047 1098 1134 1281 1323 1647 2094 2443 2562 2646 2989 3141 3294 3843 3969 4886 4941 5978 6282 7329 7686 7938 8967 9423 9882 11529 14658 17101 17934 18846 21289 21987 23058 26901 28269 34202 34587 42578 43974 51303 53802 56538 63867 65961 69174 80703 102606 127734 131922 149023 153909 161406 191601 197883 242109 298046 307818 383202 395766 447069 461727 484218 574803 894138 923454 1043161 1149606 1341207 1385181 1724409 2086322 2682414 2770362 3129483 3448818 4023621 6258966 8047242 9388449 12070863 18776898 24141726 28165347 56330694 84496041 168992082