Search a number
-
+
182968296 = 23375320549
BaseRepresentation
bin10101110011111…
…01111111101000
3110202021202022120
422321331333220
5333314441141
630053351240
74351130160
oct1271757750
9422252276
10182968296
119430a875
1251338520
132bba2c84
141a42b5a0
15110e2c66
hexae7dfe8

182968296 has 64 divisors (see below), whose sum is σ = 532656000. Its totient is φ = 51287808.

The previous prime is 182968283. The next prime is 182968301. The reversal of 182968296 is 692869281.

It is a super-2 number, since 2×1829682962 = 66954794682287232, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1371 + ... + 19178.

It is an arithmetic number, because the mean of its divisors is an integer number (8322750).

Almost surely, 2182968296 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 182968296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266328000).

182968296 is an abundant number, since it is smaller than the sum of its proper divisors (349687704).

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

182968296 is a wasteful number, since it uses less digits than its factorization.

182968296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20618 (or 20614 counting only the distinct ones).

The product of its digits is 746496, while the sum is 51.

The square root of 182968296 is about 13526.5773941526. The cubic root of 182968296 is about 567.7083489159.

It can be divided in two parts, 1829 and 68296, that added together give a triangular number (70125 = T374).

The spelling of 182968296 in words is "one hundred eighty-two million, nine hundred sixty-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 424 636 742 1113 1272 1484 2226 2968 4452 8904 20549 41098 61647 82196 123294 143843 164392 246588 287686 431529 493176 575372 863058 1089097 1150744 1726116 2178194 3267291 3452232 4356388 6534582 7623679 8712776 13069164 15247358 22871037 26138328 30494716 45742074 60989432 91484148 182968296