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293493213 = 39133137
BaseRepresentation
bin10001011111100…
…101100111011101
3202110021000000000
4101133211213131
51100113240323
645042324513
710162436226
oct2137454735
9673230000
10293493213
1114073a882
1282359739
1348a60230
142ad9c24d
151ab75e43
hex117e59dd

293493213 has 80 divisors (see below), whose sum is σ = 502616576. Its totient is φ = 170061120.

The previous prime is 293493163. The next prime is 293493223. The reversal of 293493213 is 312394392.

293493213 is a `hidden beast` number, since 293 + 49 + 321 + 3 = 666.

It is not a de Polignac number, because 293493213 - 26 = 293493149 is a prime.

It is a super-2 number, since 2×2934932132 = 172276532154126738, which contains 22 as substring.

It is a Duffinian number.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 293493213 = 3783 + 6213 = 5043 + 5493.

Its product of digits (34992) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (293493223) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7932231 + ... + 7932267.

Almost surely, 2293493213 is an apocalyptic number.

It is an amenable number.

293493213 is a deficient number, since it is larger than the sum of its proper divisors (209123363).

293493213 is an frugal number, since it uses more digits than its factorization.

293493213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 84 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 293493213 is about 17131.6436164193. The cubic root of 293493213 is about 664.5576895530.

The spelling of 293493213 in words is "two hundred ninety-three million, four hundred ninety-three thousand, two hundred thirteen".

Divisors: 1 3 9 13 27 31 37 39 81 93 111 117 243 279 333 351 403 481 729 837 999 1053 1147 1209 1443 2187 2511 2997 3159 3441 3627 4329 6561 7533 8991 9477 10323 10881 12987 14911 19683 22599 26973 28431 30969 32643 38961 44733 67797 80919 85293 92907 97929 116883 134199 203391 242757 255879 278721 293787 350649 402597 610173 728271 836163 881361 1051947 1207791 2508489 2644083 3155841 3623373 7525467 7932249 9467523 10870119 22576401 32610357 97831071 293493213