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98392392 = 2332721672
BaseRepresentation
bin1011101110101…
…01100101001000
320212010211222200
411313111211020
5200142024032
613432520200
72303215200
oct567254510
9225124880
1098392392
11505a372a
1228b50060
13174ccb67
14d0d3400
15898847c
hex5dd5948

98392392 has 108 divisors (see below), whose sum is σ = 311853555. Its totient is φ = 27943776.

The previous prime is 98392391. The next prime is 98392403. The reversal of 98392392 is 29329389.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 49196196 + 49196196 = 7014^2 + 7014^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7014.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (98392391) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 589093 + ... + 589259.

Almost surely, 298392392 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 98392392

98392392 is an abundant number, since it is smaller than the sum of its proper divisors (213461163).

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

98392392 is a wasteful number, since it uses less digits than its factorization.

98392392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 179 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 98392392 is about 9919.2939264849. The cubic root of 98392392 is about 461.6581493184.

Multiplying 98392392 by its product of digits (209952), we get a square (20657679485184 = 45450722).

The spelling of 98392392 in words is "ninety-eight million, three hundred ninety-two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 167 168 196 252 294 334 392 441 501 504 588 668 882 1002 1169 1176 1336 1503 1764 2004 2338 3006 3507 3528 4008 4676 6012 7014 8183 9352 10521 12024 14028 16366 21042 24549 27889 28056 32732 42084 49098 55778 65464 73647 83667 84168 98196 111556 147294 167334 195223 196392 223112 251001 294588 334668 390446 502002 585669 589176 669336 780892 1004004 1171338 1366561 1561784 1757007 2008008 2342676 2733122 3514014 4099683 4685352 5466244 7028028 8199366 10932488 12299049 14056056 16398732 24598098 32797464 49196196 98392392