Search a number
-
+
98241936 = 24313313503
BaseRepresentation
bin1011101101100…
…00110110010000
320211212012121020
411312300312100
5200122220221
613425355440
72302020432
oct566606620
9224765536
1098241936
1150500691
1228a98b80
1317479530
14d094652
158958ac6
hex5db0d90

98241936 has 80 divisors (see below), whose sum is σ = 274732416. Its totient is φ = 30071808.

The previous prime is 98241931. The next prime is 98241967. The reversal of 98241936 is 63914289.

It is not an unprimeable number, because it can be changed into a prime (98241931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195061 + ... + 195563.

Almost surely, 298241936 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 98241936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137366208).

98241936 is an abundant number, since it is smaller than the sum of its proper divisors (176490480).

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

98241936 is a wasteful number, since it uses less digits than its factorization.

98241936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 834 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 98241936 is about 9911.7070174617. The cubic root of 98241936 is about 461.4227155565.

The spelling of 98241936 in words is "ninety-eight million, two hundred forty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 313 503 624 626 939 1006 1252 1509 1878 2012 2504 3018 3756 4024 4069 5008 6036 6539 7512 8048 8138 12072 12207 13078 15024 16276 19617 24144 24414 26156 32552 39234 48828 52312 65104 78468 97656 104624 156936 157439 195312 313872 314878 472317 629756 944634 1259512 1889268 2046707 2519024 3778536 4093414 6140121 7557072 8186828 12280242 16373656 24560484 32747312 49120968 98241936