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293968 = 2419967
BaseRepresentation
bin1000111110001010000
3112221020201
41013301100
533401333
610144544
72333023
oct1076120
9487221
10293968
11190954
12122154
13a3a5c
14791ba
155c17d
hex47c50

293968 has 20 divisors (see below), whose sum is σ = 600160. Its totient is φ = 139104.

The previous prime is 293957. The next prime is 293983. The reversal of 293968 is 869392.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 180 + ... + 787.

It is an arithmetic number, because the mean of its divisors is an integer number (30008).

2293968 is an apocalyptic number.

It is an amenable number.

293968 is an abundant number, since it is smaller than the sum of its proper divisors (306192).

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

293968 is a wasteful number, since it uses less digits than its factorization.

293968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 988 counting only the distinct ones).

The product of its digits is 23328, while the sum is 37.

The square root of 293968 is about 542.1881592215. The cubic root of 293968 is about 66.4915850433.

The spelling of 293968 in words is "two hundred ninety-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 19 38 76 152 304 967 1934 3868 7736 15472 18373 36746 73492 146984 293968