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29349528 = 23313194951
BaseRepresentation
bin110111111110…
…1011010011000
32001020002222120
41233331122120
530003141103
62525021240
7504316065
oct157753230
961202876
1029349528
111562680a
1299b4820
136107bb0
143c7dc6c
15289b253
hex1bfd698

29349528 has 64 divisors (see below), whose sum is σ = 83193600. Its totient is φ = 8553600.

The previous prime is 29349503. The next prime is 29349533. The reversal of 29349528 is 82594392.

It is a super-2 number, since 2×293495282 = 1722789587645568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 29349528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3453 + ... + 8403.

It is an arithmetic number, because the mean of its divisors is an integer number (1299900).

Almost surely, 229349528 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 29349528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41596800).

29349528 is an abundant number, since it is smaller than the sum of its proper divisors (53844072).

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

29349528 is a wasteful number, since it uses less digits than its factorization.

29349528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4992 (or 4988 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 29349528 is about 5417.5204660435. The cubic root of 29349528 is about 308.4610792470.

The spelling of 29349528 in words is "twenty-nine million, three hundred forty-nine thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1976 2964 4951 5928 9902 14853 19804 29706 39608 59412 64363 94069 118824 128726 188138 193089 257452 282207 376276 386178 514904 564414 752552 772356 1128828 1222897 1544712 2257656 2445794 3668691 4891588 7337382 9783176 14674764 29349528