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29044296 = 23321761389
BaseRepresentation
bin110111011001…
…0111001001000
32000122121021200
41232302321020
524413404141
62514304200
7501605151
oct156627110
960577250
1029044296
1115438456
129888060
13602bc98
143c00928
15283aab6
hex1bb2e48

29044296 has 96 divisors (see below), whose sum is σ = 84871800. Its totient is φ = 8939520.

The previous prime is 29044259. The next prime is 29044319. The reversal of 29044296 is 69244092.

29044296 = T1840 + T1841 + ... + T1856.

It can be written as a sum of positive squares in 4 ways, for example, as 17388900 + 11655396 = 4170^2 + 3414^2 .

It is a super-2 number, since 2×290442962 = 1687142260271232, which contains 22 as substring.

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 29044296.

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 23 ways as a sum of consecutive naturals, for example, 74470 + ... + 74858.

Almost surely, 229044296 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 29044296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42435900).

29044296 is an abundant number, since it is smaller than the sum of its proper divisors (55827504).

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

29044296 is a wasteful number, since it uses less digits than its factorization.

29044296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 472 counting only the distinct ones).

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

The square root of 29044296 is about 5389.2760181679. The cubic root of 29044296 is about 307.3880298261.

The spelling of 29044296 in words is "twenty-nine million, forty-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 61 68 72 102 122 136 153 183 204 244 306 366 389 408 488 549 612 732 778 1037 1098 1167 1224 1464 1556 2074 2196 2334 3111 3112 3501 4148 4392 4668 6222 6613 7002 8296 9333 9336 12444 13226 14004 18666 19839 23729 24888 26452 28008 37332 39678 47458 52904 59517 71187 74664 79356 94916 119034 142374 158712 189832 213561 238068 284748 403393 427122 476136 569496 806786 854244 1210179 1613572 1708488 2420358 3227144 3630537 4840716 7261074 9681432 14522148 29044296