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29506896 = 2433167409
BaseRepresentation
bin111000010001…
…1110101010000
32001112002212000
41300203311100
530023210041
62532234000
7505542636
oct160436520
961462760
1029506896
1115723a71
129a6b900
136161703
143cc1356
1528ccbb6
hex1c23d50

29506896 has 80 divisors (see below), whose sum is σ = 85411200. Its totient is φ = 9752832.

The previous prime is 29506889. The next prime is 29506909. The reversal of 29506896 is 69860592.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 71940 + ... + 72348.

It is an arithmetic number, because the mean of its divisors is an integer number (1067640).

Almost surely, 229506896 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 29506896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42705600).

29506896 is an abundant number, since it is smaller than the sum of its proper divisors (55904304).

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

29506896 is a wasteful number, since it uses less digits than its factorization.

29506896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 29506896 is about 5432.0250367612. The cubic root of 29506896 is about 309.0114049895.

The spelling of 29506896 in words is "twenty-nine million, five hundred six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 167 216 334 409 432 501 668 818 1002 1227 1336 1503 1636 2004 2454 2672 3006 3272 3681 4008 4509 4908 6012 6544 7362 8016 9018 9816 11043 12024 14724 18036 19632 22086 24048 29448 36072 44172 58896 68303 72144 88344 136606 176688 204909 273212 409818 546424 614727 819636 1092848 1229454 1639272 1844181 2458908 3278544 3688362 4917816 7376724 9835632 14753448 29506896