Search a number
-
+
1283952 = 243231163
BaseRepresentation
bin100111001011101110000
32102020020210
410321131300
5312041302
643304120
713625205
oct4713560
92366223
101283952
117a771a
1251b040
1335c547
14255cac
151a566c
hex139770

1283952 has 40 divisors (see below), whose sum is σ = 3464064. Its totient is φ = 409024.

The previous prime is 1283941. The next prime is 1283957. The reversal of 1283952 is 2593821.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 523 + ... + 1685.

21283952 is an apocalyptic number.

1283952 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 1283952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732032).

1283952 is an abundant number, since it is smaller than the sum of its proper divisors (2180112).

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

1283952 is a wasteful number, since it uses less digits than its factorization.

1283952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1191 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 1283952 is about 1133.1160576040. The cubic root of 1283952 is about 108.6883333832.

The spelling of 1283952 in words is "one million, two hundred eighty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 1163 2326 3489 4652 6978 9304 13956 18608 26749 27912 53498 55824 80247 106996 160494 213992 320988 427984 641976 1283952