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29896800 = 2535212457
BaseRepresentation
bin111001000001…
…1000001100000
32002020220200220
41302003001200
530123144200
62544443040
7512055453
oct162030140
962226626
1029896800
111596a9aa
12a019480
13626a01b
143d8349a
1529584a0
hex1c83060

29896800 has 72 divisors (see below), whose sum is σ = 97321896. Its totient is φ = 7971840.

The previous prime is 29896799. The next prime is 29896813. The reversal of 29896800 is 869892.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3829 + ... + 8628.

It is an arithmetic number, because the mean of its divisors is an integer number (1351693).

Almost surely, 229896800 is an apocalyptic number.

29896800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29896800 is an abundant number, since it is smaller than the sum of its proper divisors (67425096).

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

29896800 is a wasteful number, since it uses less digits than its factorization.

29896800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12480 (or 12467 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 29896800 is about 5467.7966311852. The cubic root of 29896800 is about 310.3665452660.

The spelling of 29896800 in words is "twenty-nine million, eight hundred ninety-six thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 12457 24914 37371 49828 62285 74742 99656 124570 149484 186855 199312 249140 298968 311425 373710 398624 498280 597936 622850 747420 934275 996560 1195872 1245700 1494840 1868550 1993120 2491400 2989680 3737100 4982800 5979360 7474200 9965600 14948400 29896800