Search a number
-
+
98149216 = 2511535261
BaseRepresentation
bin1011101100110…
…10001101100000
320211200111102011
411312122031200
5200111233331
613423402304
72301153214
oct566321540
9224614364
1098149216
1150447a60
1228a53394
1317446279
14d06c944
15893b3b1
hex5d9a360

98149216 has 48 divisors (see below), whose sum is σ = 214815888. Its totient is φ = 43763200.

The previous prime is 98149199. The next prime is 98149217. The reversal of 98149216 is 61294189.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98149217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16026 + ... + 21286.

It is an arithmetic number, because the mean of its divisors is an integer number (4475331).

Almost surely, 298149216 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 98149216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107407944).

98149216 is an abundant number, since it is smaller than the sum of its proper divisors (116666672).

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

98149216 is a wasteful number, since it uses less digits than its factorization.

98149216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5335 (or 5327 counting only the distinct ones).

The product of its digits is 31104, while the sum is 40.

The square root of 98149216 is about 9907.0286160887. The cubic root of 98149216 is about 461.2775074358.

The spelling of 98149216 in words is "ninety-eight million, one hundred forty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 176 212 352 424 583 848 1166 1696 2332 4664 5261 9328 10522 18656 21044 42088 57871 84176 115742 168352 231484 278833 462968 557666 925936 1115332 1851872 2230664 3067163 4461328 6134326 8922656 12268652 24537304 49074608 98149216