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980448 = 25371459
BaseRepresentation
bin11101111010111100000
31211210220220
43233113200
5222333243
633003040
711222310
oct3572740
91753826
10980448
1160a697
123b3480
13284361
141b7440
15145783
hexef5e0

980448 has 48 divisors (see below), whose sum is σ = 2943360. Its totient is φ = 279936.

The previous prime is 980431. The next prime is 980449. The reversal of 980448 is 844089.

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

It is a super-2 number, since 2×9804482 = 1922556561408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58 + ... + 1401.

It is an arithmetic number, because the mean of its divisors is an integer number (61320).

2980448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 980448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471680).

980448 is an abundant number, since it is smaller than the sum of its proper divisors (1962912).

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

980448 is a wasteful number, since it uses less digits than its factorization.

980448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 980448 is about 990.1757419772. The cubic root of 980448 is about 99.3439723552.

The spelling of 980448 in words is "nine hundred eighty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1459 2918 4377 5836 8754 10213 11672 17508 20426 23344 30639 35016 40852 46688 61278 70032 81704 122556 140064 163408 245112 326816 490224 980448