Search a number
-
+
98324928 = 2634131459
BaseRepresentation
bin1011101110001…
…01000111000000
320212000102110000
411313011013000
5200132344203
613431240000
72302514412
oct567050700
9225012400
1098324928
1150557a79
1228b19000
13174a8240
14d0b69b2
1589734a3
hex5dc51c0

98324928 has 140 divisors (see below), whose sum is σ = 314101480. Its totient is φ = 30233088.

The previous prime is 98324903. The next prime is 98324969. The reversal of 98324928 is 82942389.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66663 + ... + 68121.

It is an arithmetic number, because the mean of its divisors is an integer number (2243582).

Almost surely, 298324928 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 98324928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157050740).

98324928 is an abundant number, since it is smaller than the sum of its proper divisors (215776552).

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

98324928 is a wasteful number, since it uses less digits than its factorization.

98324928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1477 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 98324928 is about 9915.8926980883. The cubic root of 98324928 is about 461.5526112585.

The spelling of 98324928 in words is "ninety-eight million, three hundred twenty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1459 1728 1872 2106 2496 2592 2808 2918 3744 4212 4377 5184 5616 5836 7488 8424 8754 11232 11672 13131 16848 17508 18967 22464 23344 26262 33696 35016 37934 39393 46688 52524 56901 67392 70032 75868 78786 93376 105048 113802 118179 140064 151736 157572 170703 210096 227604 236358 280128 303472 315144 341406 420192 455208 472716 512109 606944 630288 682812 840384 910416 945432 1024218 1213888 1260576 1365624 1536327 1820832 1890864 2048436 2521152 2731248 3072654 3641664 3781728 4096872 5462496 6145308 7563456 8193744 10924992 12290616 16387488 24581232 32774976 49162464 98324928