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2005452 = 223331599
BaseRepresentation
bin111101001100111001100
310202212222000
413221213030
51003133302
6110552300
723021541
oct7514714
93685860
102005452
11114a7a9
12808690
13552a77
143a2bc8
1529931c
hex1e99cc

2005452 has 48 divisors (see below), whose sum is σ = 5376000. Its totient is φ = 645840.

The previous prime is 2005447. The next prime is 2005453. The reversal of 2005452 is 2545002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2005453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3049 + ... + 3647.

It is an arithmetic number, because the mean of its divisors is an integer number (112000).

22005452 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 2005452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688000).

2005452 is an abundant number, since it is smaller than the sum of its proper divisors (3370548).

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

2005452 is a wasteful number, since it uses less digits than its factorization.

2005452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2005452 is about 1416.1398236050. The cubic root of 2005452 is about 126.1064859443.

The spelling of 2005452 in words is "two million, five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 599 837 1116 1198 1674 1797 2396 3348 3594 5391 7188 10782 16173 18569 21564 32346 37138 55707 64692 74276 111414 167121 222828 334242 501363 668484 1002726 2005452