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9993088 = 27719587
BaseRepresentation
bin100110000111…
…101110000000
3200210200221101
4212013232000
510024234323
6554104144
7150640240
oct46075600
920720841
109993088
115705a56
12341b054
1320bb691
141481b20
15d25dad
hex987b80

9993088 has 64 divisors (see below), whose sum is σ = 23990400. Its totient is φ = 4050432.

The previous prime is 9993083. The next prime is 9993089. The reversal of 9993088 is 8803999.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9993083) 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, 16731 + ... + 17317.

It is an arithmetic number, because the mean of its divisors is an integer number (374850).

Almost surely, 29993088 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 9993088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11995200).

9993088 is an abundant number, since it is smaller than the sum of its proper divisors (13997312).

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

9993088 is a wasteful number, since it uses less digits than its factorization.

9993088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The square root of 9993088 is about 3161.1845880935. The cubic root of 9993088 is about 215.3938193869.

The spelling of 9993088 in words is "nine million, nine hundred ninety-three thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 587 608 896 1064 1174 1216 2128 2348 2432 4109 4256 4696 8218 8512 9392 11153 16436 17024 18784 22306 32872 37568 44612 65744 75136 78071 89224 131488 156142 178448 262976 312284 356896 525952 624568 713792 1249136 1427584 2498272 4996544 9993088