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29126016 = 2732131193
BaseRepresentation
bin110111100011…
…0110110000000
32000210202101100
41233012312000
524424013031
62520134400
7502365333
oct157066600
960722340
1029126016
1115493897
129907400
13605a23a
143c2261a
152854de6
hex1bc6d80

29126016 has 96 divisors (see below), whose sum is σ = 84890520. Its totient is φ = 9584640.

The previous prime is 29126003. The next prime is 29126021. The reversal of 29126016 is 61062192.

It is a tau number, because it is divible by the number of its divisors (96).

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, 150816 + ... + 151008.

Almost surely, 229126016 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 29126016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42445260).

29126016 is an abundant number, since it is smaller than the sum of its proper divisors (55764504).

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

29126016 is a wasteful number, since it uses less digits than its factorization.

29126016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 29126016 is about 5396.8524159921. The cubic root of 29126016 is about 307.6760522694.

The spelling of 29126016 in words is "twenty-nine million, one hundred twenty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 131 144 192 193 262 288 384 386 393 524 576 579 772 786 1048 1152 1158 1179 1544 1572 1737 2096 2316 2358 3088 3144 3474 4192 4632 4716 6176 6288 6948 8384 9264 9432 12352 12576 13896 16768 18528 18864 24704 25152 25283 27792 37056 37728 50304 50566 55584 74112 75456 75849 101132 111168 150912 151698 202264 222336 227547 303396 404528 455094 606792 809056 910188 1213584 1618112 1820376 2427168 3236224 3640752 4854336 7281504 9708672 14563008 29126016