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29244096 = 263277253
BaseRepresentation
bin110111110001…
…1101011000000
32001000202100200
41233203223000
524441302341
62522445200
7503366520
oct157435300
961022320
1029244096
1115564582
129963800
13609bbcb
143c53680
152879db6
hex1be3ac0

29244096 has 84 divisors (see below), whose sum is σ = 95810832. Its totient is φ = 8354304.

The previous prime is 29244079. The next prime is 29244101. The reversal of 29244096 is 69044292.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 29244096.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 406 + ... + 7658.

Almost surely, 229244096 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 29244096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47905416).

29244096 is an abundant number, since it is smaller than the sum of its proper divisors (66566736).

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

29244096 is a wasteful number, since it uses less digits than its factorization.

29244096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7278 (or 7265 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 29244096 is about 5407.7810606569. The cubic root of 29244096 is about 308.0912755846.

The spelling of 29244096 in words is "twenty-nine million, two hundred forty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 7253 14506 21759 29012 43518 50771 58024 65277 87036 101542 116048 130554 152313 174072 203084 232096 261108 304626 348144 406168 456939 464192 522216 609252 696288 812336 913878 1044432 1218504 1392576 1624672 1827756 2088864 2437008 3249344 3655512 4177728 4874016 7311024 9748032 14622048 29244096