Search a number
-
+
8195648 = 26373461
BaseRepresentation
bin11111010000111001000000
3120102101022112
4133100321000
54044230043
6451354452
7126443006
oct37207100
916371275
108195648
11469856a
1228b2a28
13190c4c6
141134a76
15abd518
hex7d0e40

8195648 has 28 divisors (see below), whose sum is σ = 16707612. Its totient is φ = 3985920.

The previous prime is 8195647. The next prime is 8195651. The reversal of 8195648 is 8465918.

It can be written as a sum of positive squares in 2 ways, for example, as 4631104 + 3564544 = 2152^2 + 1888^2 .

It is a super-2 number, since 2×81956482 = 134337292279808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8195647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 638 + ... + 4098.

Almost surely, 28195648 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 8195648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8353806).

8195648 is an abundant number, since it is smaller than the sum of its proper divisors (8511964).

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

8195648 is a wasteful number, since it uses less digits than its factorization.

8195648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3510 (or 3500 counting only the distinct ones).

The product of its digits is 69120, while the sum is 41.

The square root of 8195648 is about 2862.8042196420. The cubic root of 8195648 is about 201.6172866675.

The spelling of 8195648 in words is "eight million, one hundred ninety-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 2368 3461 6922 13844 27688 55376 110752 128057 221504 256114 512228 1024456 2048912 4097824 8195648