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29284420 = 22511212101
BaseRepresentation
bin110111110110…
…1100001000100
32001002210200011
41233231201010
524444100140
62523400004
7503625214
oct157554104
961083604
1029284420
1115591900
129983004
1360b4379
143c64244
152886cea
hex1bed844

29284420 has 36 divisors (see below), whose sum is σ = 67601772. Its totient is φ = 10648000.

The previous prime is 29284391. The next prime is 29284439. The reversal of 29284420 is 2448292.

It can be written as a sum of positive squares in 2 ways, for example, as 23213124 + 6071296 = 4818^2 + 2464^2 .

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 11 ways as a sum of consecutive naturals, for example, 3631 + ... + 8470.

It is an arithmetic number, because the mean of its divisors is an integer number (1877827).

Almost surely, 229284420 is an apocalyptic number.

29284420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29284420 is an abundant number, since it is smaller than the sum of its proper divisors (38317352).

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

29284420 is a wasteful number, since it uses less digits than its factorization.

29284420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12132 (or 12119 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 29284420 is about 5411.5081077275. The cubic root of 29284420 is about 308.2328171665.

The spelling of 29284420 in words is "twenty-nine million, two hundred eighty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 12101 24202 48404 60505 121010 133111 242020 266222 532444 665555 1331110 1464221 2662220 2928442 5856884 7321105 14642210 29284420