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98498016 = 2532714817
BaseRepresentation
bin1011101111011…
…11010111100000
320212100012212200
411313233113200
5200203414031
613435053200
72304135141
oct567572740
9225305780
1098498016
1150666021
1228ba1200
1317538c66
14d11dac8
1589a98e6
hex5def5e0

98498016 has 72 divisors (see below), whose sum is σ = 284107824. Its totient is φ = 32363520.

The previous prime is 98498003. The next prime is 98498021. The reversal of 98498016 is 61089489.

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

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 18040 + ... + 22856.

It is an arithmetic number, because the mean of its divisors is an integer number (3945942).

Almost surely, 298498016 is an apocalyptic number.

98498016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98498016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142053912).

98498016 is an abundant number, since it is smaller than the sum of its proper divisors (185609808).

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

98498016 is a wasteful number, since it uses less digits than its factorization.

98498016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4904 (or 4893 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 98498016 is about 9924.6166676603. The cubic root of 98498016 is about 461.8232865514.

The spelling of 98498016 in words is "ninety-eight million, four hundred ninety-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 639 852 1136 1278 1704 2272 2556 3408 4817 5112 6816 9634 10224 14451 19268 20448 28902 38536 43353 57804 77072 86706 115608 154144 173412 231216 342007 346824 462432 684014 693648 1026021 1368028 1387296 2052042 2736056 3078063 4104084 5472112 6156126 8208168 10944224 12312252 16416336 24624504 32832672 49249008 98498016