Search a number
-
+
98041950 = 23252223977
BaseRepresentation
bin1011101100000…
…00000001011110
320211111001021100
411312000001132
5200044320300
613421213530
72300225406
oct566000136
9224431240
1098041950
1150384406
1228a012a6
13174094b6
14d041806
158919700
hex5d8005e

98041950 has 72 divisors (see below), whose sum is σ = 264858048. Its totient is φ = 26000640.

The previous prime is 98041949. The next prime is 98041961. The reversal of 98041950 is 5914089.

It is a super-2 number, since 2×980419502 = 19224447919605000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99862 + ... + 100838.

It is an arithmetic number, because the mean of its divisors is an integer number (3678584).

Almost surely, 298041950 is an apocalyptic number.

98041950 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 98041950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132429024).

98041950 is an abundant number, since it is smaller than the sum of its proper divisors (166816098).

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

98041950 is a wasteful number, since it uses less digits than its factorization.

98041950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 98041950 is about 9901.6135048789. The cubic root of 98041950 is about 461.1094047882.

The spelling of 98041950 in words is "ninety-eight million, forty-one thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 223 225 446 450 669 977 1115 1338 1954 2007 2230 2931 3345 4014 4885 5575 5862 6690 8793 9770 10035 11150 14655 16725 17586 20070 24425 29310 33450 43965 48850 50175 73275 87930 100350 146550 217871 219825 435742 439650 653613 1089355 1307226 1960839 2178710 3268065 3921678 5446775 6536130 9804195 10893550 16340325 19608390 32680650 49020975 98041950