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396524416 = 27233672
BaseRepresentation
bin10111101000100…
…111101110000000
31000122010112020111
4113220213232000
51303002240131
6103202521104
712553254601
oct2750475600
91018115214
10396524416
11193911732
12b0966194
13641c5642
143a93bda8
1524c28ab1
hex17a27b80

396524416 has 48 divisors (see below), whose sum is σ = 826548840. Its totient is φ = 189125376.

The previous prime is 396524351. The next prime is 396524419. The reversal of 396524416 is 614425693.

It is a super-2 number, since 2×3965244162 = 314463224968282112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396524419) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1080265 + ... + 1080631.

Almost surely, 2396524416 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 396524416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413274420).

396524416 is an abundant number, since it is smaller than the sum of its proper divisors (430024424).

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

396524416 is an frugal number, since it uses more digits than its factorization.

396524416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 392 counting only the distinct ones).

The product of its digits is 155520, while the sum is 40.

The square root of 396524416 is about 19912.9208304558. The cubic root of 396524416 is about 734.6660620715. Note that the first 3 decimals are identical.

The spelling of 396524416 in words is "three hundred ninety-six million, five hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 367 368 734 736 1468 1472 2936 2944 5872 8441 11744 16882 23488 33764 46976 67528 134689 135056 269378 270112 538756 540224 1077512 1080448 2155024 3097847 4310048 6195694 8620096 12391388 17240192 24782776 49565552 99131104 198262208 396524416