Search a number
-
+
98401050 = 2325211103193
BaseRepresentation
bin1011101110101…
…11101100011010
320212011021212100
411313113230122
5200142313200
613433024230
72303252346
oct567275432
9225137770
1098401050
11505aa190
1228b55076
1317503a97
14d0d6626
15898ad00
hex5dd7b1a

98401050 has 144 divisors (see below), whose sum is σ = 292713408. Its totient is φ = 23500800.

The previous prime is 98401013. The next prime is 98401109. The reversal of 98401050 is 5010489.

It is a super-2 number, since 2×984010502 = 19365533282205000, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 509754 + ... + 509946.

It is an arithmetic number, because the mean of its divisors is an integer number (2032732).

Almost surely, 298401050 is an apocalyptic number.

98401050 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 98401050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146356704).

98401050 is an abundant number, since it is smaller than the sum of its proper divisors (194312358).

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

98401050 is a wasteful number, since it uses less digits than its factorization.

98401050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 98401050 is about 9919.7303390768. The cubic root of 98401050 is about 461.6716900640.

The spelling of 98401050 in words is "ninety-eight million, four hundred one thousand, fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 103 110 150 165 193 198 206 225 275 309 330 386 450 495 515 550 579 618 825 927 965 990 1030 1133 1158 1545 1650 1737 1854 1930 2123 2266 2475 2575 2895 3090 3399 3474 4246 4635 4825 4950 5150 5665 5790 6369 6798 7725 8685 9270 9650 10197 10615 11330 12738 14475 15450 16995 17370 19107 19879 20394 21230 23175 28325 28950 31845 33990 38214 39758 43425 46350 50985 53075 56650 59637 63690 84975 86850 95535 99395 101970 106150 119274 159225 169950 178911 191070 198790 218669 254925 298185 318450 357822 437338 477675 496975 509850 596370 656007 894555 955350 993950 1093345 1312014 1490925 1789110 1968021 2186690 2981850 3280035 3936042 4472775 5466725 6560070 8945550 9840105 10933450 16400175 19680210 32800350 49200525 98401050