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29027808 = 25353733
BaseRepresentation
bin110111010111…
…0110111100000
32000121202200000
41232232313200
524412342213
62514100000
7501506115
oct156566740
960552600
1029027808
1115427027
12987a600
136024624
143bd890c
152835c73
hex1baede0

29027808 has 72 divisors (see below), whose sum is σ = 85628088. Its totient is φ = 9673344.

The previous prime is 29027783. The next prime is 29027813. The reversal of 29027808 is 80872092.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×290278082 = 1685227274569728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5910 + ... + 9642.

It is an arithmetic number, because the mean of its divisors is an integer number (1189279).

Almost surely, 229027808 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 29027808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42814044).

29027808 is an abundant number, since it is smaller than the sum of its proper divisors (56600280).

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

29027808 is an equidigital number, since it uses as much as digits as its factorization.

29027808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3758 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 29027808 is about 5387.7460964674. The cubic root of 29027808 is about 307.3298523307.

The spelling of 29027808 in words is "twenty-nine million, twenty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3733 3888 7466 7776 11199 14932 22398 29864 33597 44796 59728 67194 89592 100791 119456 134388 179184 201582 268776 302373 358368 403164 537552 604746 806328 907119 1075104 1209492 1612656 1814238 2418984 3225312 3628476 4837968 7256952 9675936 14513904 29027808