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2057652 = 223261937
BaseRepresentation
bin111110110010110110100
310212112120100
413312112310
51011321102
6112034100
723326662
oct7662664
93775510
102057652
111185a43
12832930
1357075c
143b7c32
152a9a1c
hex1f65b4

2057652 has 36 divisors (see below), whose sum is σ = 5292196. Its totient is φ = 673920.

The previous prime is 2057639. The next prime is 2057659. The reversal of 2057652 is 2567502.

2057652 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 652 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86436 + 1971216 = 294^2 + 1404^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1728 + ... + 2664.

22057652 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 2057652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646098).

2057652 is an abundant number, since it is smaller than the sum of its proper divisors (3234544).

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

2057652 is a wasteful number, since it uses less digits than its factorization.

2057652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2057652 is about 1434.4518116688. The cubic root of 2057652 is about 127.1912715026.

The spelling of 2057652 in words is "two million, fifty-seven thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 937 1098 1874 2196 2811 3748 5622 8433 11244 16866 33732 57157 114314 171471 228628 342942 514413 685884 1028826 2057652