Search a number
-
+
98381696 = 277195779
BaseRepresentation
bin1011101110100…
…10111110000000
320212010022022112
411313102332000
5200141203241
613432354452
72303142050
oct567227600
9225108275
1098381696
1150596696
1228b45a28
13174c802a
14d0cd560
1589851eb
hex5dd2f80

98381696 has 64 divisors (see below), whose sum is σ = 235824000. Its totient is φ = 39937536.

The previous prime is 98381671. The next prime is 98381711. The reversal of 98381696 is 69618389.

It is a tau number, because it is divible by the number of its divisors (64).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14135 + ... + 19913.

It is an arithmetic number, because the mean of its divisors is an integer number (3684750).

Almost surely, 298381696 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 98381696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117912000).

98381696 is an abundant number, since it is smaller than the sum of its proper divisors (137442304).

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

98381696 is a wasteful number, since it uses less digits than its factorization.

98381696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5819 (or 5807 counting only the distinct ones).

The product of its digits is 559872, while the sum is 50.

The square root of 98381696 is about 9918.7547605534. The cubic root of 98381696 is about 461.6414201303.

The spelling of 98381696 in words is "ninety-eight million, three hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 896 1064 1216 2128 2432 4256 5779 8512 11558 17024 23116 40453 46232 80906 92464 109801 161812 184928 219602 323624 369856 439204 647248 739712 768607 878408 1294496 1537214 1756816 2588992 3074428 3513632 5177984 6148856 7027264 12297712 14054528 24595424 49190848 98381696