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1982464 = 214112
BaseRepresentation
bin111100100000000000000
310201201102121
413210000000
51001414324
6110254024
722564531
oct7440000
93651377
101982464
111134500
127b7314
13545473
14398688
152925e4
hex1e4000

1982464 has 45 divisors (see below), whose sum is σ = 4358011. Its totient is φ = 901120.

The previous prime is 1982447. The next prime is 1982467. The reversal of 1982464 is 4642891.

The square root of 1982464 is 1408.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×19824642 = 7860327022592, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (1982467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 180219 + ... + 180229.

21982464 is an apocalyptic number.

1982464 is the 1408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1982464

1982464 is an abundant number, since it is smaller than the sum of its proper divisors (2375547).

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

1982464 is an frugal number, since it uses more digits than its factorization.

1982464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 13 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The cubic root of 1982464 is about 125.6227905686.

It can be divided in two parts, 198 and 2464, that added together give a palindrome (2662).

The spelling of 1982464 in words is "one million, nine hundred eighty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2048 2816 3872 4096 5632 7744 8192 11264 15488 16384 22528 30976 45056 61952 90112 123904 180224 247808 495616 991232 1982464