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98995216 = 2417279271
BaseRepresentation
bin1011110011010…
…00110000010000
320220021110220111
411321220300100
5200320321331
613453451104
72311305535
oct571506020
9226243814
1098995216
1150975631
12291a0a94
1317681368
14d20cd8c
158a56db1
hex5e68c10

98995216 has 60 divisors (see below), whose sum is σ = 207089920. Its totient is φ = 45826560.

The previous prime is 98995213. The next prime is 98995219. The reversal of 98995216 is 61259989.

It is an interprime number because it is at equal distance from previous prime (98995213) and next prime (98995219).

It is a self number, because there is not a number n which added to its sum of digits gives 98995216.

It is not an unprimeable number, because it can be changed into a prime (98995213) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 365161 + ... + 365431.

Almost surely, 298995216 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 98995216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103544960).

98995216 is an abundant number, since it is smaller than the sum of its proper divisors (108094704).

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

98995216 is a wasteful number, since it uses less digits than its factorization.

98995216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 369 counting only the distinct ones).

The product of its digits is 349920, while the sum is 49.

The square root of 98995216 is about 9949.6339631164. The cubic root of 98995216 is about 462.5990492511.

The spelling of 98995216 in words is "ninety-eight million, nine hundred ninety-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 79 136 158 271 272 289 316 542 578 632 1084 1156 1264 1343 2168 2312 2686 4336 4607 4624 5372 9214 10744 18428 21409 21488 22831 36856 42818 45662 73712 78319 85636 91324 156638 171272 182648 313276 342544 363953 365296 626552 727906 1253104 1455812 2911624 5823248 6187201 12374402 24748804 49497608 98995216