Search a number
-
+
98736378 = 231323471171
BaseRepresentation
bin1011110001010…
…01100011111010
320212210022211220
411320221203322
5200234031003
613444132510
72306150106
oct570514372
9225708756
1098736378
1150809114
1229097136
13175c05c0
14d182906
158a05353
hex5e298fa

98736378 has 64 divisors (see below), whose sum is σ = 226824192. Its totient is φ = 28416960.

The previous prime is 98736367. The next prime is 98736389. The reversal of 98736378 is 87363789.

98736378 is a nontrivial binomial coefficient, being equal to C(14053, 2).

It is an interprime number because it is at equal distance from previous prime (98736367) and next prime (98736389).

It is a self number, because there is not a number n which added to its sum of digits gives 98736378.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83733 + ... + 84903.

It is an arithmetic number, because the mean of its divisors is an integer number (3544128).

Almost surely, 298736378 is an apocalyptic number.

98736378 is the 14052-nd triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98736378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113412096).

98736378 is an abundant number, since it is smaller than the sum of its proper divisors (128087814).

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

98736378 is a wasteful number, since it uses less digits than its factorization.

98736378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259.

The product of its digits is 1524096, while the sum is 51.

The square root of 98736378 is about 9936.6180363341. The cubic root of 98736378 is about 462.1955189012.

The spelling of 98736378 in words is "ninety-eight million, seven hundred thirty-six thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 13 23 26 39 46 47 69 78 94 138 141 282 299 598 611 897 1081 1171 1222 1794 1833 2162 2342 3243 3513 3666 6486 7026 14053 15223 26933 28106 30446 42159 45669 53866 55037 80799 84318 91338 110074 161598 165111 330222 350129 700258 715481 1050387 1265851 1430962 2100774 2146443 2531702 3797553 4292886 7595106 16456063 32912126 49368189 98736378