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1982672 = 24294273
BaseRepresentation
bin111100100000011010000
310201201201022
413210003100
51001421142
6110255012
722565246
oct7440320
93651638
101982672
11113467a
127b7468
135455a3
14398796
152926d2
hex1e40d0

1982672 has 20 divisors (see below), whose sum is σ = 3974820. Its totient is φ = 956928.

The previous prime is 1982671. The next prime is 1982681. The reversal of 1982672 is 2762891.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 781456 + 1201216 = 884^2 + 1096^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982671) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1673 + ... + 2600.

It is an arithmetic number, because the mean of its divisors is an integer number (198741).

21982672 is an apocalyptic number.

It is an amenable number.

1982672 is an abundant number, since it is smaller than the sum of its proper divisors (1992148).

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

1982672 is a wasteful number, since it uses less digits than its factorization.

1982672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4310 (or 4304 counting only the distinct ones).

The product of its digits is 12096, while the sum is 35.

The square root of 1982672 is about 1408.0738616990. The cubic root of 1982672 is about 125.6271838601.

The spelling of 1982672 in words is "one million, nine hundred eighty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 29 58 116 232 464 4273 8546 17092 34184 68368 123917 247834 495668 991336 1982672