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8234248 = 2311137683
BaseRepresentation
bin11111011010010100001000
3120111100021011
4133122110020
54101443443
6452253304
7126663361
oct37322410
916440234
108234248
114714570
122911234
131923c49
141144b68
15ac9b9d
hex7da508

8234248 has 32 divisors (see below), whose sum is σ = 16990560. Its totient is φ = 3710080.

The previous prime is 8234243. The next prime is 8234257. The reversal of 8234248 is 8424328.

It is not an unprimeable number, because it can be changed into a prime (8234243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11715 + ... + 12397.

It is an arithmetic number, because the mean of its divisors is an integer number (530955).

Almost surely, 28234248 is an apocalyptic number.

8234248 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8234248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8495280).

8234248 is an abundant number, since it is smaller than the sum of its proper divisors (8756312).

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

8234248 is a wasteful number, since it uses less digits than its factorization.

8234248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 833 counting only the distinct ones).

The product of its digits is 12288, while the sum is 31.

The square root of 8234248 is about 2869.5379418994. The cubic root of 8234248 is about 201.9333178586.

It can be divided in two parts, 8 and 234248, that added together give a 4-th power (234256 = 224).

The spelling of 8234248 in words is "eight million, two hundred thirty-four thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 22 44 88 137 274 548 683 1096 1366 1507 2732 3014 5464 6028 7513 12056 15026 30052 60104 93571 187142 374284 748568 1029281 2058562 4117124 8234248