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29399392 = 2511174
BaseRepresentation
bin111000000100…
…1100101100000
32001022122101101
41300021211200
530011240032
62530044144
7504614341
oct160114540
961278341
1029399392
1115660220
129a19654
1361247b9
143c940c8
1528aade7
hex1c09960

29399392 has 60 divisors (see below), whose sum is σ = 67088196. Its totient is φ = 12577280.

The previous prime is 29399389. The next prime is 29399407.

29399392 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1729368 + ... + 1729384.

Almost surely, 229399392 is an apocalyptic number.

29399392 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29399392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33544098).

29399392 is an abundant number, since it is smaller than the sum of its proper divisors (37688804).

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

29399392 is an frugal number, since it uses more digits than its factorization.

29399392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 30 counting only the distinct ones).

The product of its digits is 236196, while the sum is 46.

The square root of 29399392 is about 5422.1206183559. The cubic root of 29399392 is about 308.6356692300.

It can be divided in two parts, 29399 and 392, that added together give a cube (29791 = 313).

The spelling of 29399392 in words is "twenty-nine million, three hundred ninety-nine thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 289 352 374 544 578 748 1156 1496 2312 2992 3179 4624 4913 5984 6358 9248 9826 12716 19652 25432 39304 50864 54043 78608 83521 101728 108086 157216 167042 216172 334084 432344 668168 864688 918731 1336336 1729376 1837462 2672672 3674924 7349848 14699696 29399392