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2088384 = 26373149
BaseRepresentation
bin111111101110111000000
310221002201120
413331313000
51013312014
6112432240
723515404
oct7756700
93832646
102088384
1111a7041
12848680
1358173c
143c5104
152b3ba9
hex1fddc0

2088384 has 56 divisors (see below), whose sum is σ = 5638800. Its totient is φ = 681984.

The previous prime is 2088367. The next prime is 2088403. The reversal of 2088384 is 4838802.

It is a super-2 number, since 2×20883842 = 8722695462912, which contains 22 as substring.

It is a congruent number.

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, 13942 + ... + 14090.

22088384 is an apocalyptic number.

2088384 is a gapful number since it is divisible by the number (24) 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 2088384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819400).

2088384 is an abundant number, since it is smaller than the sum of its proper divisors (3550416).

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

2088384 is a wasteful number, since it uses less digits than its factorization.

2088384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 2088384 is about 1445.1242161143. The cubic root of 2088384 is about 127.8213653999.

The spelling of 2088384 in words is "two million, eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 149 192 219 292 298 438 447 584 596 876 894 1168 1192 1752 1788 2336 2384 3504 3576 4672 4768 7008 7152 9536 10877 14016 14304 21754 28608 32631 43508 65262 87016 130524 174032 261048 348064 522096 696128 1044192 2088384