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8131328 = 28231381
BaseRepresentation
bin11111000001001100000000
3120022010002022
4133001030000
54040200303
6450141012
7126054332
oct37011400
916263068
108131328
114654207
122881768
1318b914a
141119452
15aa9438
hex7c1300

8131328 has 36 divisors (see below), whose sum is σ = 16948848. Its totient is φ = 3886080.

The previous prime is 8131327. The next prime is 8131337. The reversal of 8131328 is 8231318.

It is a super-2 number, since 2×81313282 = 132236990087168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8131297 and 8131306.

It is not an unprimeable number, because it can be changed into a prime (8131327) 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, 5198 + ... + 6578.

Almost surely, 28131328 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 8131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8474424).

8131328 is an abundant number, since it is smaller than the sum of its proper divisors (8817520).

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

8131328 is a wasteful number, since it uses less digits than its factorization.

8131328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1406 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 8131328 is about 2851.5483513348. The cubic root of 8131328 is about 201.0884654682.

It can be divided in two parts, 813132 and 8, that multiplied together give a palindrome (6505056).

The spelling of 8131328 in words is "eight million, one hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 736 1381 1472 2762 2944 5524 5888 11048 22096 31763 44192 63526 88384 127052 176768 254104 353536 508208 1016416 2032832 4065664 8131328