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29132298 = 236132953
BaseRepresentation
bin110111100100…
…0011000001010
32000211002000000
41233020120022
524424213143
62520223430
7502422546
oct157103012
960732000
1029132298
1115498588
12990ab76
136060060
143c24a26
152856bd3
hex1bc860a

29132298 has 112 divisors (see below), whose sum is σ = 74367720. Its totient is φ = 8491392.

The previous prime is 29132293. The next prime is 29132317. The reversal of 29132298 is 89223192.

It can be written as a sum of positive squares in 4 ways, for example, as 23357889 + 5774409 = 4833^2 + 2403^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (29132293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 549640 + ... + 549692.

Almost surely, 229132298 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29132298, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37183860).

29132298 is an abundant number, since it is smaller than the sum of its proper divisors (45235422).

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

29132298 is a wasteful number, since it uses less digits than its factorization.

29132298 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 100 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 29132298 is about 5397.4343905230. The cubic root of 29132298 is about 307.6981708915.

The spelling of 29132298 in words is "twenty-nine million, one hundred thirty-two thousand, two hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 53 54 58 78 81 87 106 117 159 162 174 234 243 261 318 351 377 477 486 522 689 702 729 754 783 954 1053 1131 1378 1431 1458 1537 1566 2067 2106 2262 2349 2862 3074 3159 3393 4134 4293 4611 4698 6201 6318 6786 7047 8586 9222 9477 10179 12402 12879 13833 14094 18603 18954 19981 20358 21141 25758 27666 30537 37206 38637 39962 41499 42282 55809 59943 61074 77274 82998 91611 111618 119886 124497 167427 179829 183222 248994 274833 334854 359658 373491 502281 539487 549666 746982 1004562 1078974 1120473 1618461 2240946 3236922 4855383 9710766 14566149 29132298