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275952 = 2435749
BaseRepresentation
bin1000011010111110000
3112000112110
41003113300
532312302
65525320
72226345
oct1032760
9460473
10275952
11179366
12113840
13987b1
14727cc
1556b6c
hex435f0

275952 has 20 divisors (see below), whose sum is σ = 713000. Its totient is φ = 91968.

The previous prime is 275941. The next prime is 275963. The reversal of 275952 is 259572.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (275941) and next prime (275963).

It is a super-2 number, since 2×2759522 = 152299012608, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 212 + 74 + 94 + 53 + 54 + 218 .

It is a congruent number.

It is an unprimeable number.

275952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2827 + ... + 2922.

It is an arithmetic number, because the mean of its divisors is an integer number (35650).

2275952 is an apocalyptic number.

It is an amenable number.

275952 is an abundant number, since it is smaller than the sum of its proper divisors (437048).

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

275952 is a wasteful number, since it uses less digits than its factorization.

275952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5760 (or 5754 counting only the distinct ones).

The product of its digits is 6300, while the sum is 30.

The square root of 275952 is about 525.3113362569. The cubic root of 275952 is about 65.1045261022.

The spelling of 275952 in words is "two hundred seventy-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 5749 11498 17247 22996 34494 45992 68988 91984 137976 275952