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29859408 = 243369119
BaseRepresentation
bin111000111100…
…1111001010000
32002012000102000
41301321321100
530121000113
62543554000
7511541445
oct161717120
962160360
1029859408
11159448a7
129bbb900
136255cb7
143d739cc
15294c373
hex1c79e50

29859408 has 40 divisors (see below), whose sum is σ = 85708800. Its totient is φ = 9952992.

The previous prime is 29859397. The next prime is 29859419. The reversal of 29859408 is 80495892.

It is an interprime number because it is at equal distance from previous prime (29859397) and next prime (29859419).

It is a super-3 number, since 3×298594083 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 34128 + ... + 34991.

It is an arithmetic number, because the mean of its divisors is an integer number (2142720).

Almost surely, 229859408 is an apocalyptic number.

It is an amenable number.

29859408 is an abundant number, since it is smaller than the sum of its proper divisors (55849392).

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

29859408 is a wasteful number, since it uses less digits than its factorization.

29859408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69136 (or 69124 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 29859408 is about 5464.3762681572. The cubic root of 29859408 is about 310.2370992222.

The spelling of 29859408 in words is "twenty-nine million, eight hundred fifty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 69119 138238 207357 276476 414714 552952 622071 829428 1105904 1244142 1658856 1866213 2488284 3317712 3732426 4976568 7464852 9953136 14929704 29859408