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29955492 = 22327294099
BaseRepresentation
bin111001001000…
…1010110100100
32002100220012200
41302101112210
530132033432
62550014500
7512421540
oct162212644
962326180
1029955492
1115a00006
12a047430
13628a958
143d9aa20
15296aa7c
hex1c915a4

29955492 has 72 divisors (see below), whose sum is σ = 89544000. Its totient is φ = 8261568.

The previous prime is 29955491. The next prime is 29955493. The reversal of 29955492 is 29455992.

29955492 is a `hidden beast` number, since 2 + 9 + 9 + 554 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (29955491) and next prime (29955493).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (29955491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5259 + ... + 9357.

Almost surely, 229955492 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 29955492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44772000).

29955492 is an abundant number, since it is smaller than the sum of its proper divisors (59588508).

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

29955492 is a wasteful number, since it uses less digits than its factorization.

29955492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4145 (or 4140 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 29955492 is about 5473.1610610323. The cubic root of 29955492 is about 310.5695115364.

Subtracting from 29955492 its reverse (29455992), we obtain a triangular number (499500 = T999).

The spelling of 29955492 in words is "twenty-nine million, nine hundred fifty-five thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2436 3654 4099 7308 8198 12297 16396 24594 28693 36891 49188 57386 73782 86079 114772 118871 147564 172158 237742 258237 344316 356613 475484 516474 713226 832097 1032948 1069839 1426452 1664194 2139678 2496291 3328388 4279356 4992582 7488873 9985164 14977746 29955492