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998244048 = 24373347821
BaseRepresentation
bin111011011111111…
…111111011010000
32120120101001101210
4323133333323100
54021022302143
6243015500120
733510635334
oct7337777320
92516331353
10998244048
1147253458a
1223a387640
1312ba73b69
14968117c4
155c986033
hex3b7ffed0

998244048 has 80 divisors (see below), whose sum is σ = 2624849856. Its totient is φ = 326845440.

The previous prime is 998244047. The next prime is 998244067. The reversal of 998244048 is 840442899.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 998243988 and 998244006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (998244041) 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, 1215478 + ... + 1216298.

Almost surely, 2998244048 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 998244048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312424928).

998244048 is an abundant number, since it is smaller than the sum of its proper divisors (1626605808).

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

998244048 is a wasteful number, since it uses less digits than its factorization.

998244048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 998244048 is about 31595.0003639816. Note that the first 3 decimals coincide. The cubic root of 998244048 is about 999.4143397357.

The spelling of 998244048 in words is "nine hundred ninety-eight million, two hundred forty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 347 438 584 694 821 876 1041 1168 1388 1642 1752 2082 2463 2776 3284 3504 4164 4926 5552 6568 8328 9852 13136 16656 19704 25331 39408 50662 59933 75993 101324 119866 151986 179799 202648 239732 284887 303972 359598 405296 479464 569774 607944 719196 854661 958928 1139548 1215888 1438392 1709322 2279096 2876784 3418644 4558192 6837288 13674576 20796751 41593502 62390253 83187004 124780506 166374008 249561012 332748016 499122024 998244048