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982952838 = 232723373307
BaseRepresentation
bin111010100101101…
…010101110000110
32112111121011210200
4322211222232012
54003113442323
6241312031330
733233650500
oct7245525606
92474534720
10982952838
1146494001a
12235232546
1312884baca
1494790d70
155b465443
hex3a96ab86

982952838 has 72 divisors (see below), whose sum is σ = 2485545192. Its totient is φ = 279925632.

The previous prime is 982952833. The next prime is 982952843. The reversal of 982952838 is 838259289.

982952838 is a `hidden beast` number, since 9 + 82 + 9 + 528 + 38 = 666.

It is an interprime number because it is at equal distance from previous prime (982952833) and next prime (982952843).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (982952833) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 295581 + ... + 298887.

It is an arithmetic number, because the mean of its divisors is an integer number (34521461).

Almost surely, 2982952838 is an apocalyptic number.

982952838 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 982952838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242772596).

982952838 is an abundant number, since it is smaller than the sum of its proper divisors (1502592354).

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

982952838 is a wasteful number, since it uses less digits than its factorization.

982952838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3666 (or 3656 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 982952838 is about 31352.0786870663. The cubic root of 982952838 is about 994.2850138188.

The spelling of 982952838 in words is "nine hundred eighty-two million, nine hundred fifty-two thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 337 441 674 882 1011 2022 2359 3033 3307 4718 6066 6614 7077 9921 14154 16513 19842 21231 23149 29763 33026 42462 46298 49539 59526 69447 99078 138894 148617 162043 208341 297234 324086 416682 486129 972258 1114459 1458387 2228918 2916774 3343377 6686754 7801213 10030131 15602426 20060262 23403639 46807278 54608491 70210917 109216982 140421834 163825473 327650946 491476419 982952838