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2049888 = 253131163
BaseRepresentation
bin111110100011101100000
310212010220210
413310131200
51011044023
6111534120
723265231
oct7643540
93763823
102049888
111180125
1282a340
1356a069
143b5088
152a7593
hex1f4760

2049888 has 48 divisors (see below), whose sum is σ = 5455296. Its totient is φ = 673920.

The previous prime is 2049863. The next prime is 2049893. The reversal of 2049888 is 8889402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12495 + ... + 12657.

It is an arithmetic number, because the mean of its divisors is an integer number (113652).

22049888 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 2049888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727648).

2049888 is an abundant number, since it is smaller than the sum of its proper divisors (3405408).

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

2049888 is a wasteful number, since it uses less digits than its factorization.

2049888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 2049888 is about 1431.7429936968. The cubic root of 2049888 is about 127.0310957812.

The spelling of 2049888 in words is "two million, forty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 163 262 326 393 489 524 652 786 978 1048 1304 1572 1956 2096 2608 3144 3912 4192 5216 6288 7824 12576 15648 21353 42706 64059 85412 128118 170824 256236 341648 512472 683296 1024944 2049888