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29290880 = 27545767
BaseRepresentation
bin110111110111…
…1000110000000
32001010010112102
41233233012000
524444302010
62523445532
7503653103
oct157570600
961103472
1029290880
1115596743
1299868a8
1360b72a8
143c6673a
152888ba5
hex1bef180

29290880 has 32 divisors (see below), whose sum is σ = 70025040. Its totient is φ = 11716096.

The previous prime is 29290873. The next prime is 29290883. The reversal of 29290880 is 8809292.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29290883) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 22244 + ... + 23523.

Almost surely, 229290880 is an apocalyptic number.

29290880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29290880 is an abundant number, since it is smaller than the sum of its proper divisors (40734160).

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

29290880 is an equidigital number, since it uses as much as digits as its factorization.

29290880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45786 (or 45774 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 29290880 is about 5412.1049509410. The cubic root of 29290880 is about 308.2554803847.

The spelling of 29290880 in words is "twenty-nine million, two hundred ninety thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 45767 91534 183068 228835 366136 457670 732272 915340 1464544 1830680 2929088 3661360 5858176 7322720 14645440 29290880