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2006952 = 233174919
BaseRepresentation
bin111101001111110101000
310202222000120
413221332220
51003210302
6111003240
723026113
oct7517650
93688016
102006952
111150942
12809520
1355365c
143a357a
152999bc
hex1e9fa8

2006952 has 32 divisors (see below), whose sum is σ = 5313600. Its totient is φ = 629504.

The previous prime is 2006929. The next prime is 2006959. The reversal of 2006952 is 2596002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (2006959) 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 7 ways as a sum of consecutive naturals, for example, 2052 + ... + 2867.

It is an arithmetic number, because the mean of its divisors is an integer number (166050).

22006952 is an apocalyptic number.

It is an amenable number.

2006952 is an abundant number, since it is smaller than the sum of its proper divisors (3306648).

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

2006952 is a wasteful number, since it uses less digits than its factorization.

2006952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4945 (or 4941 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 2006952 is about 1416.6693333308. The cubic root of 2006952 is about 126.1379190222.

The spelling of 2006952 in words is "two million, six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 4919 9838 14757 19676 29514 39352 59028 83623 118056 167246 250869 334492 501738 668984 1003476 2006952