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2993088 = 263717131
BaseRepresentation
bin1011011010101111000000
312122001202010
423122233000
51231234323
6144052520
734304130
oct13325700
95561663
102993088
11176482a
121004140
1380a477
1457cac0
153e1c93
hex2dabc0

2993088 has 112 divisors (see below), whose sum is σ = 9656064. Its totient is φ = 798720.

The previous prime is 2993083. The next prime is 2993093. The reversal of 2993088 is 8803992.

2993088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2993083) and next prime (2993093).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2993083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22783 + ... + 22913.

22993088 is an apocalyptic number.

2993088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2993088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828032).

2993088 is an abundant number, since it is smaller than the sum of its proper divisors (6662976).

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

2993088 is a wasteful number, since it uses less digits than its factorization.

2993088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 2993088 is about 1730.0543344069. The cubic root of 2993088 is about 144.1141070873.

The spelling of 2993088 in words is "two million, nine hundred ninety-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 131 136 168 192 204 224 238 262 272 336 357 393 408 448 476 524 544 672 714 786 816 917 952 1048 1088 1344 1428 1572 1632 1834 1904 2096 2227 2751 2856 3144 3264 3668 3808 4192 4454 5502 5712 6288 6681 7336 7616 8384 8908 11004 11424 12576 13362 14672 15589 17816 22008 22848 25152 26724 29344 31178 35632 44016 46767 53448 58688 62356 71264 88032 93534 106896 124712 142528 176064 187068 213792 249424 374136 427584 498848 748272 997696 1496544 2993088