Search a number
-
+
98952192 = 210341193
BaseRepresentation
bin1011110010111…
…10010000000000
320220012021220000
411321132100000
5200312432232
613452520000
72311036233
oct571362000
9226167800
1098952192
1150946279
1229180000
13176678c1
14d1db41a
158a4927c
hex5e5e400

98952192 has 110 divisors (see below), whose sum is σ = 295738278. Its totient is φ = 32956416.

The previous prime is 98952181. The next prime is 98952193. The reversal of 98952192 is 29125989.

It can be written as a sum of positive squares in only one way, i.e., 84934656 + 14017536 = 9216^2 + 3744^2 .

It is not an unprimeable number, because it can be changed into a prime (98952193) 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 9 ways as a sum of consecutive naturals, for example, 82348 + ... + 83540.

Almost surely, 298952192 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 98952192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147869139).

98952192 is an abundant number, since it is smaller than the sum of its proper divisors (196786086).

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

98952192 is a wasteful number, since it uses less digits than its factorization.

98952192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1198 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 98952192 is about 9947.4716385622. The cubic root of 98952192 is about 462.5320233001.

The spelling of 98952192 in words is "ninety-eight million, nine hundred fifty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1193 1296 1536 1728 2304 2386 2592 3072 3456 3579 4608 4772 5184 6912 7158 9216 9544 10368 10737 13824 14316 19088 20736 21474 27648 28632 32211 38176 41472 42948 57264 64422 76352 82944 85896 96633 114528 128844 152704 171792 193266 229056 257688 305408 343584 386532 458112 515376 610816 687168 773064 916224 1030752 1221632 1374336 1546128 1832448 2061504 2748672 3092256 3664896 4123008 5497344 6184512 8246016 10994688 12369024 16492032 24738048 32984064 49476096 98952192