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88009248 = 2533129573
BaseRepresentation
bin1010011111011…
…10101000100000
320010121022222210
411033232220200
5140012243443
612422202120
72116031505
oct517565040
9203538883
1088009248
1145751718
1225583340
1315305aa2
14b98d4ac
157ad6c33
hex53eea20

88009248 has 48 divisors (see below), whose sum is σ = 238484736. Its totient is φ = 28389120.

The previous prime is 88009241. The next prime is 88009249. The reversal of 88009248 is 84290088.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (88009241) 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 7 ways as a sum of consecutive naturals, for example, 11811 + ... + 17762.

It is an arithmetic number, because the mean of its divisors is an integer number (4968432).

Almost surely, 288009248 is an apocalyptic number.

It is an amenable number.

88009248 is an abundant number, since it is smaller than the sum of its proper divisors (150475488).

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

88009248 is a wasteful number, since it uses less digits than its factorization.

88009248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29617 (or 29609 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 88009248 is about 9381.3244267534. The cubic root of 88009248 is about 444.8115989074.

The spelling of 88009248 in words is "eighty-eight million, nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 29573 59146 88719 118292 177438 236584 354876 473168 709752 916763 946336 1419504 1833526 2750289 2839008 3667052 5500578 7334104 11001156 14668208 22002312 29336416 44004624 88009248