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2086952 = 23783449
BaseRepresentation
bin111111101100000101000
310221000202112
413331200220
51013240302
6112421452
723511260
oct7754050
93830675
102086952
1111a5a5a
12847888
13580baa
143c47a0
152b3552
hex1fd828

2086952 has 32 divisors (see below), whose sum is σ = 4536000. Its totient is φ = 881664.

The previous prime is 2086949. The next prime is 2086957. The reversal of 2086952 is 2596802.

It is not an unprimeable number, because it can be changed into a prime (2086957) by changing a digit.

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, 4424 + ... + 4872.

It is an arithmetic number, because the mean of its divisors is an integer number (141750).

22086952 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 2086952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268000).

2086952 is an abundant number, since it is smaller than the sum of its proper divisors (2449048).

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

2086952 is a wasteful number, since it uses less digits than its factorization.

2086952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 2086952 is about 1444.6286720123. The cubic root of 2086952 is about 127.7921431164.

The spelling of 2086952 in words is "two million, eighty-six thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 83 166 332 449 581 664 898 1162 1796 2324 3143 3592 4648 6286 12572 25144 37267 74534 149068 260869 298136 521738 1043476 2086952