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29804148 = 223211731031
BaseRepresentation
bin111000110110…
…0011001110100
32002002012121100
41301230121310
530112213043
62542450100
7511221363
oct161543164
962065540
1029804148
1115907330
129b93930
136236aba
143d5b7da
15293acd3
hex1c6c674

29804148 has 72 divisors (see below), whose sum is σ = 83393856. Its totient is φ = 8899200.

The previous prime is 29804147. The next prime is 29804189. The reversal of 29804148 is 84140892.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29804147) 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 23 ways as a sum of consecutive naturals, for example, 28393 + ... + 29423.

It is an arithmetic number, because the mean of its divisors is an integer number (1158248).

Almost surely, 229804148 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 29804148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41696928).

29804148 is an abundant number, since it is smaller than the sum of its proper divisors (53589708).

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

29804148 is a wasteful number, since it uses less digits than its factorization.

29804148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 29804148 is about 5459.3175397663. The cubic root of 29804148 is about 310.0455985648.

The spelling of 29804148 in words is "twenty-nine million, eight hundred four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 73 99 132 146 198 219 292 396 438 657 803 876 1031 1314 1606 2062 2409 2628 3093 3212 4124 4818 6186 7227 9279 9636 11341 12372 14454 18558 22682 28908 34023 37116 45364 68046 75263 102069 136092 150526 204138 225789 301052 408276 451578 677367 827893 903156 1354734 1655786 2483679 2709468 3311572 4967358 7451037 9934716 14902074 29804148