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29168440 = 2357104173
BaseRepresentation
bin110111101000…
…1001100111000
32000212220120121
41233101030320
524431342230
62521103024
7502633120
oct157211470
960786517
1029168440
1115512754
129927a74
136073642
143c33c80
15286277a
hex1bd1338

29168440 has 32 divisors (see below), whose sum is σ = 75005280. Its totient is φ = 10000512.

The previous prime is 29168437. The next prime is 29168483. The reversal of 29168440 is 4486192.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 29168396 and 29168405.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 51807 + ... + 52366.

It is an arithmetic number, because the mean of its divisors is an integer number (2343915).

Almost surely, 229168440 is an apocalyptic number.

29168440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29168440 is an abundant number, since it is smaller than the sum of its proper divisors (45836840).

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

29168440 is a wasteful number, since it uses less digits than its factorization.

29168440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104191 (or 104187 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 29168440 is about 5400.7814249421. The cubic root of 29168440 is about 307.8253634158.

The spelling of 29168440 in words is "twenty-nine million, one hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 104173 208346 416692 520865 729211 833384 1041730 1458422 2083460 2916844 3646055 4166920 5833688 7292110 14584220 29168440