Search a number
-
+
98848672 = 25131271871
BaseRepresentation
bin1011110010001…
…00111110100000
320220000000212221
411321010332200
5200301124142
613450400424
72310125356
oct571047640
9226000787
1098848672
115088551a
1229130114
131762c750
14d1b17d6
158a28767
hex5e44fa0

98848672 has 48 divisors (see below), whose sum is σ = 211341312. Its totient is φ = 45239040.

The previous prime is 98848669. The next prime is 98848691. The reversal of 98848672 is 27684889.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 51897 + ... + 53767.

It is an arithmetic number, because the mean of its divisors is an integer number (4402944).

Almost surely, 298848672 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 98848672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105670656).

98848672 is an abundant number, since it is smaller than the sum of its proper divisors (112492640).

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

98848672 is a wasteful number, since it uses less digits than its factorization.

98848672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 2013 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 52.

The square root of 98848672 is about 9942.2669447164. The cubic root of 98848672 is about 462.3706725811.

The spelling of 98848672 in words is "ninety-eight million, eight hundred forty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 127 208 254 416 508 1016 1651 1871 2032 3302 3742 4064 6604 7484 13208 14968 24323 26416 29936 48646 52832 59872 97292 194584 237617 389168 475234 778336 950468 1900936 3089021 3801872 6178042 7603744 12356084 24712168 49424336 98848672