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29838213 = 351731233
BaseRepresentation
bin111000111010…
…0101110000101
32002010221100000
41301310232011
530114310323
62543311513
7511422606
oct161645605
962127300
1029838213
111592a989
129bab599
136249462
143d69dad
152945e43
hex1c74b85

29838213 has 48 divisors (see below), whose sum is σ = 49061376. Its totient is φ = 18040320.

The previous prime is 29838203. The next prime is 29838217. The reversal of 29838213 is 31283892.

It is a happy number.

It is not a de Polignac number, because 29838213 - 25 = 29838181 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29838217) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 127945 + ... + 128177.

It is an arithmetic number, because the mean of its divisors is an integer number (1022112).

Almost surely, 229838213 is an apocalyptic number.

It is an amenable number.

29838213 is a deficient number, since it is larger than the sum of its proper divisors (19223163).

29838213 is a wasteful number, since it uses less digits than its factorization.

29838213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 284 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 29838213 is about 5462.4365442539. The cubic root of 29838213 is about 310.1636770058.

The spelling of 29838213 in words is "twenty-nine million, eight hundred thirty-eight thousand, two hundred thirteen".

Divisors: 1 3 9 17 27 31 51 81 93 153 233 243 279 459 527 699 837 1377 1581 2097 2511 3961 4131 4743 6291 7223 7533 11883 14229 18873 21669 35649 42687 56619 65007 106947 122791 128061 195021 320841 368373 585063 962523 1105119 1755189 3315357 9946071 29838213