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2048144 = 24718287
BaseRepresentation
bin111110100000010010000
310212001112012
413310002100
51011020034
6111522052
723260160
oct7640220
93761465
102048144
11117988a
12829328
13569327
143b45a0
152a6cce
hex1f4090

2048144 has 20 divisors (see below), whose sum is σ = 4535424. Its totient is φ = 877728.

The previous prime is 2048141. The next prime is 2048149. The reversal of 2048144 is 4418402.

It is not an unprimeable number, because it can be changed into a prime (2048141) 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, 9032 + ... + 9255.

22048144 is an apocalyptic number.

It is an amenable number.

2048144 is an abundant number, since it is smaller than the sum of its proper divisors (2487280).

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

2048144 is a wasteful number, since it uses less digits than its factorization.

2048144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18302 (or 18296 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 2048144 is about 1431.1338162450. The cubic root of 2048144 is about 126.9950604647.

The spelling of 2048144 in words is "two million, forty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 18287 36574 73148 128009 146296 256018 292592 512036 1024072 2048144