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3993288 = 2331312799
BaseRepresentation
bin1111001110111011001000
321111212202120
433032323020
52010241123
6221331240
745641145
oct17167310
97455676
103993288
112288242
121406b20
13a9a7c0
1475d3cc
1553d2e3
hex3ceec8

3993288 has 32 divisors (see below), whose sum is σ = 10752000. Its totient is φ = 1228608.

The previous prime is 3993263. The next prime is 3993313. The reversal of 3993288 is 8823993.

It is an interprime number because it is at equal distance from previous prime (3993263) and next prime (3993313).

It is an Ulam number.

It is a d-powerful number, because it can be written as 311 + 92 + 95 + 313 + 221 + 85 + 85 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6088 + ... + 6711.

It is an arithmetic number, because the mean of its divisors is an integer number (336000).

Almost surely, 23993288 is an apocalyptic number.

It is an amenable number.

3993288 is an abundant number, since it is smaller than the sum of its proper divisors (6758712).

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

3993288 is a wasteful number, since it uses less digits than its factorization.

3993288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12821 (or 12817 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 3993288 is about 1998.3212954878. The cubic root of 3993288 is about 158.6512668559.

The spelling of 3993288 in words is "three million, nine hundred ninety-three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 12799 25598 38397 51196 76794 102392 153588 166387 307176 332774 499161 665548 998322 1331096 1996644 3993288