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29419248 = 24317311163
BaseRepresentation
bin111000000111…
…0011011110000
32001100122121210
41300032123300
530012403443
62530320120
7505026255
oct160163360
961318553
1029419248
1115674131
129a29040
136130851
143c9b42c
1528b1c33
hex1c0e6f0

29419248 has 80 divisors (see below), whose sum is σ = 83137536. Its totient is φ = 8924160.

The previous prime is 29419241. The next prime is 29419259. The reversal of 29419248 is 84291492.

Added to its reverse (84291492) it gives a triangular number (113710740 = T15080).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29419241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24715 + ... + 25877.

Almost surely, 229419248 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 29419248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41568768).

29419248 is an abundant number, since it is smaller than the sum of its proper divisors (53718288).

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

29419248 is a wasteful number, since it uses less digits than its factorization.

29419248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1216 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 29419248 is about 5423.9513272152. The cubic root of 29419248 is about 308.7051365477.

Adding to 29419248 its reverse (84291492), we get a triangular number (113710740 = T15080).

The spelling of 29419248 in words is "twenty-nine million, four hundred nineteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 124 136 186 204 248 272 372 408 496 527 744 816 1054 1163 1488 1581 2108 2326 3162 3489 4216 4652 6324 6978 8432 9304 12648 13956 18608 19771 25296 27912 36053 39542 55824 59313 72106 79084 108159 118626 144212 158168 216318 237252 288424 316336 432636 474504 576848 612901 865272 949008 1225802 1730544 1838703 2451604 3677406 4903208 7354812 9806416 14709624 29419248