Search a number
-
+
98253936 = 24321125639
BaseRepresentation
bin1011101101100…
…11110001110000
320211212211001200
411312303301300
5200123111221
613425531200
72302100424
oct566636160
9224784050
1098253936
1150509700
1228aa3b00
1317481b31
14d098b84
15895c426
hex5db3c70

98253936 has 90 divisors (see below), whose sum is σ = 302298360. Its totient is φ = 29768640.

The previous prime is 98253913. The next prime is 98253971. The reversal of 98253936 is 63935289.

98253936 is a `hidden beast` number, since 9 + 82 + 539 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 98253891 and 98253900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14605 + ... + 20243.

Almost surely, 298253936 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 98253936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151149180).

98253936 is an abundant number, since it is smaller than the sum of its proper divisors (204044424).

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

98253936 is a wasteful number, since it uses less digits than its factorization.

98253936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5675 (or 5655 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 98253936 is about 9912.3123437470. The cubic root of 98253936 is about 461.4415019912.

The spelling of 98253936 in words is "ninety-eight million, two hundred fifty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 5639 5808 8712 11278 16917 17424 22556 33834 45112 50751 62029 67668 90224 101502 124058 135336 186087 203004 248116 270672 372174 406008 496232 558261 682319 744348 812016 992464 1116522 1364638 1488696 2046957 2233044 2729276 2977392 4093914 4466088 5458552 6140871 8187828 8932176 10917104 12281742 16375656 24563484 32751312 49126968 98253936