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9273368 = 23132193
BaseRepresentation
bin100011011000…
…000000011000
3122110010200002
4203120000120
54333221433
6530432132
7141552026
oct43300030
918403602
109273368
115264245
123132648
131bc8c00
141335716
15c329e8
hex8d8018

9273368 has 48 divisors (see below), whose sum is σ = 19873800. Its totient is φ = 4054752.

The previous prime is 9273353. The next prime is 9273373. The reversal of 9273368 is 8633729.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an Ulam number.

It is a d-powerful number, because it can be written as 97 + 221 + 76 + 3 + 311 + 64 + 87 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 488063 + ... + 488081.

Almost surely, 29273368 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 9273368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9936900).

9273368 is an abundant number, since it is smaller than the sum of its proper divisors (10600432).

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

9273368 is a wasteful number, since it uses less digits than its factorization.

9273368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 34 counting only the distinct ones).

The product of its digits is 54432, while the sum is 38.

The square root of 9273368 is about 3045.2205174667. The cubic root of 9273368 is about 210.0934429198.

Multiplying 9273368 by its sum of digits (38), we get a square (352387984 = 187722).

9273368 divided by its sum of digits (38) gives a square (244036 = 4942).

The spelling of 9273368 in words is "nine million, two hundred seventy-three thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 169 247 338 361 494 676 722 988 1352 1444 1976 2888 3211 4693 6422 6859 9386 12844 13718 18772 25688 27436 37544 54872 61009 89167 122018 178334 244036 356668 488072 713336 1159171 2318342 4636684 9273368