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29414896 = 2472172207
BaseRepresentation
bin111000000110…
…1010111110000
32001100102122121
41300031113300
530012234041
62530244024
7505010500
oct160152760
961312577
1029414896
1115670935
129a26614
13612b884
143c99a00
1528b07d1
hex1c0d5f0

29414896 has 60 divisors (see below), whose sum is σ = 70227648. Its totient is φ = 11859456.

The previous prime is 29414873. The next prime is 29414909. The reversal of 29414896 is 69841492.

It is a super-2 number, since 2×294148962 = 1730472213381632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12225 + ... + 14431.

Almost surely, 229414896 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 29414896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35113824).

29414896 is an abundant number, since it is smaller than the sum of its proper divisors (40812752).

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

29414896 is a wasteful number, since it uses less digits than its factorization.

29414896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246 (or 2233 counting only the distinct ones).

The product of its digits is 124416, while the sum is 43.

The square root of 29414896 is about 5423.5501288363. The cubic root of 29414896 is about 308.6899135095.

The spelling of 29414896 in words is "twenty-nine million, four hundred fourteen thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 392 476 784 833 952 1666 1904 2207 3332 4414 6664 8828 13328 15449 17656 30898 35312 37519 61796 75038 108143 123592 150076 216286 247184 262633 300152 432572 525266 600304 865144 1050532 1730288 1838431 2101064 3676862 4202128 7353724 14707448 29414896