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8325248 = 27193337
BaseRepresentation
bin11111110000100010000000
3120122222002112
4133300202000
54112401443
6454234452
7130522601
oct37604200
916588075
108325248
114776978
122955a28
1319564a9
141169da8
15ae6b18
hex7f0880

8325248 has 32 divisors (see below), whose sum is σ = 16720860. Its totient is φ = 4128768.

The previous prime is 8325227. The next prime is 8325269. The reversal of 8325248 is 8425238.

It is an interprime number because it is at equal distance from previous prime (8325227) and next prime (8325269).

It can be written as a sum of positive squares in 2 ways, for example, as 7795264 + 529984 = 2792^2 + 728^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24536 + ... + 24872.

Almost surely, 28325248 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 8325248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8360430).

8325248 is an abundant number, since it is smaller than the sum of its proper divisors (8395612).

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

8325248 is a wasteful number, since it uses less digits than its factorization.

8325248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 532 counting only the distinct ones).

The product of its digits is 15360, while the sum is 32.

The square root of 8325248 is about 2885.3505852842. The cubic root of 8325248 is about 202.6744764611.

The spelling of 8325248 in words is "eight million, three hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 193 337 386 674 772 1348 1544 2696 3088 5392 6176 10784 12352 21568 24704 43136 65041 130082 260164 520328 1040656 2081312 4162624 8325248