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8125248 = 263101419
BaseRepresentation
bin11110111111101101000000
3120021210202010
4132333231000
54040001443
6450052520
7126030525
oct36775500
916253663
108125248
11464a68a
12287a140
1318b6451
14111714c
15aa7733
hex7bfb40

8125248 has 56 divisors (see below), whose sum is σ = 21762720. Its totient is φ = 2675200.

The previous prime is 8125231. The next prime is 8125253. The reversal of 8125248 is 8425218.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19183 + ... + 19601.

It is an arithmetic number, because the mean of its divisors is an integer number (388620).

Almost surely, 28125248 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 8125248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10881360).

8125248 is an abundant number, since it is smaller than the sum of its proper divisors (13637472).

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

8125248 is a wasteful number, since it uses less digits than its factorization.

8125248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 525 counting only the distinct ones).

The product of its digits is 5120, while the sum is 30.

The square root of 8125248 is about 2850.4820644937. The cubic root of 8125248 is about 201.0383333240.

Subtracting from 8125248 its sum of digits (30), we obtain a palindrome (8125218).

The spelling of 8125248 in words is "eight million, one hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 202 303 404 419 606 808 838 1212 1257 1616 1676 2424 2514 3232 3352 4848 5028 6464 6704 9696 10056 13408 19392 20112 26816 40224 42319 80448 84638 126957 169276 253914 338552 507828 677104 1015656 1354208 2031312 2708416 4062624 8125248