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29993444 = 221333413
BaseRepresentation
bin111001001101…
…0100111100100
32002102211021022
41302122213210
530134242234
62550510312
7512640305
oct162324744
962384238
1029993444
1115a26578
12a065398
1362a2000
143daa7ac
152976e2e
hex1c9a9e4

29993444 has 24 divisors (see below), whose sum is σ = 56877240. Its totient is φ = 13839072.

The previous prime is 29993441. The next prime is 29993471. The reversal of 29993444 is 44439992.

It can be written as a sum of positive squares in 4 ways, for example, as 2849344 + 27144100 = 1688^2 + 5210^2 .

It is a super-2 number, since 2×299934442 = 1799213365962272, which contains 22 as substring.

Its product of digits (279936) is a multiple of the sum of its prime factors (3456).

It is a junction number, because it is equal to n+sod(n) for n = 29993395 and 29993404.

It is not an unprimeable number, because it can be changed into a prime (29993441) 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 7 ways as a sum of consecutive naturals, for example, 7082 + ... + 10494.

It is an arithmetic number, because the mean of its divisors is an integer number (2369885).

Almost surely, 229993444 is an apocalyptic number.

It is an amenable number.

29993444 is a deficient number, since it is larger than the sum of its proper divisors (26883796).

29993444 is a wasteful number, since it uses less digits than its factorization.

29993444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456 (or 3428 counting only the distinct ones).

The product of its digits is 279936, while the sum is 44.

The square root of 29993444 is about 5476.6270641701. The cubic root of 29993444 is about 310.7006144838.

The spelling of 29993444 in words is "twenty-nine million, nine hundred ninety-three thousand, four hundred forty-four".

Divisors: 1 2 4 13 26 52 169 338 676 2197 3413 4394 6826 8788 13652 44369 88738 177476 576797 1153594 2307188 7498361 14996722 29993444