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29025216 = 263411509
BaseRepresentation
bin110111010111…
…0001111000000
32000121122010000
41232232033000
524412301331
62514040000
7501465423
oct156561700
960548100
1029025216
1115425090
129879000
1360233ac
143bd79ba
1528350e6
hex1bae3c0

29025216 has 140 divisors (see below), whose sum is σ = 94046040. Its totient is φ = 8778240.

The previous prime is 29025211. The next prime is 29025221. The reversal of 29025216 is 61252092.

It is an interprime number because it is at equal distance from previous prime (29025211) and next prime (29025221).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 29025216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29025211) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 56770 + ... + 57278.

Almost surely, 229025216 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 29025216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47023020).

29025216 is an abundant number, since it is smaller than the sum of its proper divisors (65020824).

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

29025216 is a wasteful number, since it uses less digits than its factorization.

29025216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 29025216 is about 5387.5055452408. The cubic root of 29025216 is about 307.3207045199.

It can be divided in two parts, 29025 and 216, that added together give a square (29241 = 1712).

The spelling of 29025216 in words is "twenty-nine million, twenty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 509 528 576 594 648 704 792 864 891 1018 1056 1188 1296 1527 1584 1728 1782 2036 2112 2376 2592 3054 3168 3564 4072 4581 4752 5184 5599 6108 6336 7128 8144 9162 9504 11198 12216 13743 14256 16288 16797 18324 19008 22396 24432 27486 28512 32576 33594 36648 41229 44792 48864 50391 54972 57024 67188 73296 82458 89584 97728 100782 109944 134376 146592 151173 164916 179168 201564 219888 268752 293184 302346 329832 358336 403128 439776 453519 537504 604692 659664 806256 879552 907038 1075008 1209384 1319328 1612512 1814076 2418768 2638656 3225024 3628152 4837536 7256304 9675072 14512608 29025216