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1982496 = 253107193
BaseRepresentation
bin111100100000000100000
310201201110210
413210000200
51001414441
6110254120
722564605
oct7440040
93651423
101982496
11113452a
127b7340
13545499
143986ac
15292616
hex1e4020

1982496 has 48 divisors (see below), whose sum is σ = 5279904. Its totient is φ = 651264.

The previous prime is 1982471. The next prime is 1982501. The reversal of 1982496 is 6942891.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10176 + ... + 10368.

It is an arithmetic number, because the mean of its divisors is an integer number (109998).

21982496 is an apocalyptic number.

1982496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1982496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639952).

1982496 is an abundant number, since it is smaller than the sum of its proper divisors (3297408).

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

1982496 is a wasteful number, since it uses less digits than its factorization.

1982496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 305 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 1982496 is about 1408.0113635905. The cubic root of 1982496 is about 125.6234664796.

The spelling of 1982496 in words is "one million, nine hundred eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 193 214 321 386 428 579 642 772 856 1158 1284 1544 1712 2316 2568 3088 3424 4632 5136 6176 9264 10272 18528 20651 41302 61953 82604 123906 165208 247812 330416 495624 660832 991248 1982496