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2053504 = 2761263
BaseRepresentation
bin111110101010110000000
310212022212201
413311112000
51011203004
6112002544
723311615
oct7652600
93768781
102053504
111182912
12830454
1356b8bb
143b650c
152a86a4
hex1f5580

2053504 has 32 divisors (see below), whose sum is σ = 4173840. Its totient is φ = 1006080.

The previous prime is 2053459. The next prime is 2053507. The reversal of 2053504 is 4053502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053507) 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, 7677 + ... + 7939.

22053504 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 2053504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086920).

2053504 is an abundant number, since it is smaller than the sum of its proper divisors (2120336).

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

2053504 is an equidigital number, since it uses as much as digits as its factorization.

2053504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 2053504 is about 1433.0052337657. The cubic root of 2053504 is about 127.1057461381.

The spelling of 2053504 in words is "two million, fifty-three thousand, five hundred four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 263 488 526 976 1052 1952 2104 3904 4208 7808 8416 16043 16832 32086 33664 64172 128344 256688 513376 1026752 2053504