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396932648 = 23719596323
BaseRepresentation
bin10111101010001…
…011011000101000
31000122220021020012
4113222023120220
51303103321043
6103215351052
712556605020
oct2752133050
91018807205
10396932648
11194070412
12b0b22488
13643093b8
143aa06a80
1524ca9a18
hex17a8b628

396932648 has 64 divisors (see below), whose sum is σ = 910656000. Its totient is φ = 158404032.

The previous prime is 396932647. The next prime is 396932659. The reversal of 396932648 is 846239693.

It is a junction number, because it is equal to n+sod(n) for n = 396932596 and 396932605.

It is not an unprimeable number, because it can be changed into a prime (396932647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59615 + ... + 65937.

It is an arithmetic number, because the mean of its divisors is an integer number (14229000).

Almost surely, 2396932648 is an apocalyptic number.

396932648 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396932648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455328000).

396932648 is an abundant number, since it is smaller than the sum of its proper divisors (513723352).

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

396932648 is a wasteful number, since it uses less digits than its factorization.

396932648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6414 (or 6410 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 50.

The square root of 396932648 is about 19923.1686234896. The cubic root of 396932648 is about 734.9180947496.

The spelling of 396932648 in words is "three hundred ninety-six million, nine hundred thirty-two thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 59 76 118 133 152 236 266 413 472 532 826 1064 1121 1652 2242 3304 4484 6323 7847 8968 12646 15694 25292 31388 44261 50584 62776 88522 120137 177044 240274 354088 373057 480548 746114 840959 961096 1492228 1681918 2611399 2984456 3363836 5222798 6727672 7088083 10445596 14176166 20891192 28352332 49616581 56704664 99233162 198466324 396932648