Search a number
-
+
98342496 = 2532748781
BaseRepresentation
bin1011101110010…
…01011001100000
320212001022112200
411313021121200
5200133424441
613431453200
72302616550
oct567113140
9225038480
1098342496
115056a19a
1228b27200
13174b3235
14d0bd160
1589787b6
hex5dc9660

98342496 has 72 divisors (see below), whose sum is σ = 319619664. Its totient is φ = 28097280.

The previous prime is 98342473. The next prime is 98342539. The reversal of 98342496 is 69424389.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 22375 + ... + 26406.

It is an arithmetic number, because the mean of its divisors is an integer number (4439162).

Almost surely, 298342496 is an apocalyptic number.

98342496 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

98342496 is an abundant number, since it is smaller than the sum of its proper divisors (221277168).

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

98342496 is a wasteful number, since it uses less digits than its factorization.

98342496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48804 (or 48793 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 98342496 is about 9916.7785091732. The cubic root of 98342496 is about 461.5800986026.

The spelling of 98342496 in words is "ninety-eight million, three hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 48781 97562 146343 195124 292686 341467 390248 439029 585372 682934 780496 878058 1024401 1170744 1365868 1560992 1756116 2048802 2341488 2731736 3073203 3512232 4097604 4682976 5463472 6146406 7024464 8195208 10926944 12292812 14048928 16390416 24585624 32780832 49171248 98342496