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993798 = 2321331137
BaseRepresentation
bin11110010101000000110
31212111020100
43302220012
5223300143
633144530
711306241
oct3625006
91774210
10993798
11619723
123bb146
1328a460
141bc258
151496d3
hexf2a06

993798 has 48 divisors (see below), whose sum is σ = 2411136. Its totient is φ = 293760.

The previous prime is 993793. The next prime is 993821. The reversal of 993798 is 897399.

It is a happy number.

Its product of digits (122472) is a multiple of the sum of its prime factors (189).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 993798.

It is not an unprimeable number, because it can be changed into a prime (993793) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7186 + ... + 7322.

It is an arithmetic number, because the mean of its divisors is an integer number (50232).

2993798 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205568).

993798 is an abundant number, since it is smaller than the sum of its proper divisors (1417338).

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

993798 is a wasteful number, since it uses less digits than its factorization.

993798 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 186 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 993798 is about 996.8941769315. The cubic root of 993798 is about 99.7928378013.

The spelling of 993798 in words is "nine hundred ninety-three thousand, seven hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 137 186 234 274 279 403 411 558 806 822 1209 1233 1781 2418 2466 3562 3627 4247 5343 7254 8494 10686 12741 16029 25482 32058 38223 55211 76446 110422 165633 331266 496899 993798