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98109024 = 25313127619
BaseRepresentation
bin1011101100100…
…00011001100000
320211121110021120
411312100121200
5200103442044
613422452240
72300625066
oct566203140
9224543246
1098109024
115041a842
1228a34080
1317430ba0
14d05c036
15892e519
hex5d90660

98109024 has 96 divisors (see below), whose sum is σ = 279982080. Its totient is φ = 29901312.

The previous prime is 98108987. The next prime is 98109031. The reversal of 98109024 is 42090189.

It is a Cunningham number, because it is equal to 99052-1.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 158187 + ... + 158805.

It is an arithmetic number, because the mean of its divisors is an integer number (2916480).

Almost surely, 298109024 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 98109024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139991040).

98109024 is an abundant number, since it is smaller than the sum of its proper divisors (181873056).

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

98109024 is a wasteful number, since it uses less digits than its factorization.

98109024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 98109024 is about 9904.9999495204. Note that the first 4 decimals coincide. The cubic root of 98109024 is about 461.2145346223.

The spelling of 98109024 in words is "ninety-eight million, one hundred nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 127 156 208 254 312 381 416 508 619 624 762 1016 1238 1248 1524 1651 1857 2032 2476 3048 3302 3714 4064 4952 4953 6096 6604 7428 8047 9904 9906 12192 13208 14856 16094 19808 19812 24141 26416 29712 32188 39624 48282 52832 59424 64376 78613 79248 96564 128752 157226 158496 193128 235839 257504 314452 386256 471678 628904 772512 943356 1021969 1257808 1886712 2043938 2515616 3065907 3773424 4087876 6131814 7546848 8175752 12263628 16351504 24527256 32703008 49054512 98109024