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20882952 = 2332290041
BaseRepresentation
bin100111110101…
…0011000001000
31110021222000200
41033222120020
520321223302
62023332200
7342334146
oct117523010
943258020
1020882952
1110873742
126bb1060
13443229c
142ab8596
151c7781c
hex13ea608

20882952 has 24 divisors (see below), whose sum is σ = 56558190. Its totient is φ = 6960960.

The previous prime is 20882921. The next prime is 20882959. The reversal of 20882952 is 25928802.

It can be written as a sum of positive squares in only one way, i.e., 20848356 + 34596 = 4566^2 + 186^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20882959) 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 5 ways as a sum of consecutive naturals, for example, 144949 + ... + 145092.

Almost surely, 220882952 is an apocalyptic number.

It is an amenable number.

20882952 is an abundant number, since it is smaller than the sum of its proper divisors (35675238).

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

20882952 is a wasteful number, since it uses less digits than its factorization.

20882952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290053 (or 290046 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 20882952 is about 4569.7868659271. The cubic root of 20882952 is about 275.3788805135.

The spelling of 20882952 in words is "twenty million, eight hundred eighty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 290041 580082 870123 1160164 1740246 2320328 2610369 3480492 5220738 6960984 10441476 20882952