Search a number
-
+
998128848 = 24347617253
BaseRepresentation
bin111011011111100…
…011110011010000
32120120011012101010
4323133203303100
54021010110343
6243013210520
733506645433
oct7337436320
92516135333
10998128848
11472465a82
1223a330a40
1312ba335b2
14967c181a
155c961d33
hex3b7e3cd0

998128848 has 80 divisors (see below), whose sum is σ = 2676900096. Its totient is φ = 320248320.

The previous prime is 998128847. The next prime is 998128889. The reversal of 998128848 is 848821899.

It is a super-2 number, since 2×9981288482 = 1992522394419614208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (998128847) 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, 133990 + ... + 141242.

Almost surely, 2998128848 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 998128848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338450048).

998128848 is an abundant number, since it is smaller than the sum of its proper divisors (1678771248).

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

998128848 is a wasteful number, since it uses less digits than its factorization.

998128848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7372 (or 7366 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 57.

The square root of 998128848 is about 31593.1772381317. The cubic root of 998128848 is about 999.3758932384.

The spelling of 998128848 in words is "nine hundred ninety-eight million, one hundred twenty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 61 94 122 141 183 188 244 282 366 376 488 564 732 752 976 1128 1464 2256 2867 2928 5734 7253 8601 11468 14506 17202 21759 22936 29012 34404 43518 45872 58024 68808 87036 116048 137616 174072 340891 348144 442433 681782 884866 1022673 1327299 1363564 1769732 2045346 2654598 2727128 3539464 4090692 5309196 5454256 7078928 8181384 10618392 16362768 20794351 21236784 41588702 62383053 83177404 124766106 166354808 249532212 332709616 499064424 998128848