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98382825 = 325217389
BaseRepresentation
bin1011101110100…
…11001111101001
320212010100212100
411313103033221
5200141222300
613432404013
72303145252
oct567231751
9225110770
1098382825
1150597522
1228b46609
13174c86b8
14d0cdb29
158985700
hex5dd33e9

98382825 has 72 divisors (see below), whose sum is σ = 189329400. Its totient is φ = 48829440.

The previous prime is 98382811. The next prime is 98382827. The reversal of 98382825 is 52828389.

It can be written as a sum of positive squares in 12 ways, for example, as 36036009 + 62346816 = 6003^2 + 7896^2 .

It is not a de Polignac number, because 98382825 - 217 = 98251753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98382827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1105381 + ... + 1105469.

It is an arithmetic number, because the mean of its divisors is an integer number (2629575).

Almost surely, 298382825 is an apocalyptic number.

It is an amenable number.

98382825 is a deficient number, since it is larger than the sum of its proper divisors (90946575).

98382825 is a wasteful number, since it uses less digits than its factorization.

98382825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 114 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 98382825 is about 9918.8116727761. The cubic root of 98382825 is about 461.6431860115.

The spelling of 98382825 in words is "ninety-eight million, three hundred eighty-two thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 89 153 225 255 267 289 425 445 765 801 867 1275 1335 1445 1513 2225 2601 3825 4005 4335 4539 4913 6675 7225 7565 13005 13617 14739 20025 21675 22695 24565 25721 37825 44217 65025 68085 73695 77163 113475 122825 128605 221085 231489 340425 368475 385815 437257 643025 1105425 1157445 1311771 1929075 2186285 3935313 5787225 6558855 10931425 19676565 32794275 98382825