Search a number
-
+
1025288 = 231161191
BaseRepresentation
bin11111010010100001000
31221002102122
43322110020
5230302123
633550412
711500115
oct3722410
91832378
101025288
11640350
12415408
1329b8a4
141c990c
15153bc8
hexfa508

1025288 has 32 divisors (see below), whose sum is σ = 2142720. Its totient is φ = 456000.

The previous prime is 1025281. The next prime is 1025303. The reversal of 1025288 is 8825201.

1025288 = T152 + T153 + ... + T212.

It is a super-3 number, since 3×10252883 = 3233395860230063616, which contains 333 as substring.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1025281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5273 + ... + 5463.

It is an arithmetic number, because the mean of its divisors is an integer number (66960).

21025288 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 1025288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071360).

1025288 is an abundant number, since it is smaller than the sum of its proper divisors (1117432).

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

1025288 is a wasteful number, since it uses less digits than its factorization.

1025288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 1025288 is about 1012.5650596381. The cubic root of 1025288 is about 100.8359261375.

The spelling of 1025288 in words is "one million, twenty-five thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 22 44 61 88 122 191 244 382 488 671 764 1342 1528 2101 2684 4202 5368 8404 11651 16808 23302 46604 93208 128161 256322 512644 1025288