Search a number
-
+
2048368 = 24718289
BaseRepresentation
bin111110100000101110000
310212001211111
413310011300
51011021433
6111523104
723260630
oct7640560
93761744
102048368
111179a73
12829494
1356946a
143b46c0
152a6dcd
hex1f4170

2048368 has 20 divisors (see below), whose sum is σ = 4535920. Its totient is φ = 877824.

The previous prime is 2048359. The next prime is 2048369. The reversal of 2048368 is 8638402.

It is a happy number.

It is a super-2 number, since 2×20483682 = 8391622926848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048369) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9033 + ... + 9256.

It is an arithmetic number, because the mean of its divisors is an integer number (226796).

22048368 is an apocalyptic number.

2048368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2048368 is an abundant number, since it is smaller than the sum of its proper divisors (2487552).

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

2048368 is a wasteful number, since it uses less digits than its factorization.

2048368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18304 (or 18298 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 2048368 is about 1431.2120737333. The cubic root of 2048368 is about 126.9996899986. Note that the first 3 decimals are identical.

The spelling of 2048368 in words is "two million, forty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 18289 36578 73156 128023 146312 256046 292624 512092 1024184 2048368