Search a number
-
+
1028952 = 233231461
BaseRepresentation
bin11111011001101011000
31221021110100
43323031120
5230411302
634015400
711513601
oct3731530
91837410
101028952
11643081
12417560
132a0462
141cada8
15154d1c
hexfb358

1028952 has 48 divisors (see below), whose sum is σ = 2882880. Its totient is φ = 331200.

The previous prime is 1028941. The next prime is 1028953. The reversal of 1028952 is 2598201.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2002 + ... + 2462.

It is an arithmetic number, because the mean of its divisors is an integer number (60060).

21028952 is an apocalyptic number.

1028952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441440).

1028952 is an abundant number, since it is smaller than the sum of its proper divisors (1853928).

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

1028952 is a wasteful number, since it uses less digits than its factorization.

1028952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1028952 is about 1014.3727125667. The cubic root of 1028952 is about 100.9559001017.

The spelling of 1028952 in words is "one million, twenty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 461 558 744 922 1116 1383 1844 2232 2766 3688 4149 5532 8298 11064 14291 16596 28582 33192 42873 57164 85746 114328 128619 171492 257238 342984 514476 1028952