Search a number
-
+
2393952 = 253112267
BaseRepresentation
bin1001001000011101100000
311111121212220
421020131200
51103101302
6123151040
726230311
oct11103540
94447786
102393952
111395680
12975480
1365a852
14464608
153244bc
hex248760

2393952 has 48 divisors (see below), whose sum is σ = 6858432. Its totient is φ = 725120.

The previous prime is 2393947. The next prime is 2393959. The reversal of 2393952 is 2593932.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2393959) 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, 78 + ... + 2189.

It is an arithmetic number, because the mean of its divisors is an integer number (142884).

22393952 is an apocalyptic number.

2393952 is a gapful number since it is divisible by the number (22) 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 2393952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429216).

2393952 is an abundant number, since it is smaller than the sum of its proper divisors (4464480).

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

2393952 is a wasteful number, since it uses less digits than its factorization.

2393952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2283 counting only the distinct ones).

The product of its digits is 14580, while the sum is 33.

The square root of 2393952 is about 1547.2401235749. The cubic root of 2393952 is about 133.7740306780.

The spelling of 2393952 in words is "two million, three hundred ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2267 4534 6801 9068 13602 18136 24937 27204 36272 49874 54408 72544 74811 99748 108816 149622 199496 217632 299244 398992 598488 797984 1196976 2393952