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998448 = 243113161
BaseRepresentation
bin11110011110000110000
31212201121120
43303300300
5223422243
633222240
711325633
oct3636060
91781546
10998448
11622170
12401980
1328c5c9
141bdc1a
1514ac83
hexf3c30

998448 has 80 divisors (see below), whose sum is σ = 2952192. Its totient is φ = 288000.

The previous prime is 998443. The next prime is 998471. The reversal of 998448 is 844899.

998448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (82944) is a multiple of the sum of its prime divisors (108).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (998443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16338 + ... + 16398.

2998448 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 998448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476096).

998448 is an abundant number, since it is smaller than the sum of its proper divisors (1953744).

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

998448 is a wasteful number, since it uses less digits than its factorization.

998448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 108 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 998448 is about 999.2236986781. The cubic root of 998448 is about 99.9482398802.

The spelling of 998448 in words is "nine hundred ninety-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 61 62 66 88 93 122 124 132 176 183 186 244 248 264 341 366 372 488 496 528 671 682 732 744 976 1023 1342 1364 1464 1488 1891 2013 2046 2684 2728 2928 3782 4026 4092 5368 5456 5673 7564 8052 8184 10736 11346 15128 16104 16368 20801 22692 30256 32208 41602 45384 62403 83204 90768 124806 166408 249612 332816 499224 998448