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993088 = 2659263
BaseRepresentation
bin11110010011101000000
31212110021001
43302131000
5223234323
633141344
711304205
oct3623500
91773231
10993088
11619138
123ba854
1328a035
141bbcac
151493ad
hexf2740

993088 has 28 divisors (see below), whose sum is σ = 2011680. Its totient is φ = 486272.

The previous prime is 993079. The next prime is 993103. The reversal of 993088 is 880399.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

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, 3645 + ... + 3907.

2993088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005840).

993088 is an abundant number, since it is smaller than the sum of its proper divisors (1018592).

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

993088 is a wasteful number, since it uses less digits than its factorization.

993088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 993088 is about 996.5380073033. The cubic root of 993088 is about 99.7690671105.

The spelling of 993088 in words is "nine hundred ninety-three thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 59 64 118 236 263 472 526 944 1052 1888 2104 3776 4208 8416 15517 16832 31034 62068 124136 248272 496544 993088