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396435956 = 227149167569
BaseRepresentation
bin10111101000010…
…010000111110100
31000121222000220012
4113220102013310
51302441422311
6103200555352
712552435650
oct2750220764
91017860805
10396435956
11193861224
12b0922b58
13641942b7
143a917a60
1524c0c78b
hex17a121f4

396435956 has 48 divisors (see below), whose sum is σ = 804384000. Its totient is φ = 167455488.

The previous prime is 396435947. The next prime is 396435959. The reversal of 396435956 is 659534693.

It is a super-4 number, since 4×3964359564 (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396435959) 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, 696440 + ... + 697008.

It is an arithmetic number, because the mean of its divisors is an integer number (16758000).

Almost surely, 2396435956 is an apocalyptic number.

It is an amenable number.

396435956 is an abundant number, since it is smaller than the sum of its proper divisors (407948044).

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

396435956 is a wasteful number, since it uses less digits than its factorization.

396435956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 894 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 50.

The square root of 396435956 is about 19910.6995356768. The cubic root of 396435956 is about 734.6114261814.

The spelling of 396435956 in words is "three hundred ninety-six million, four hundred thirty-five thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 28 149 167 298 334 569 596 668 1043 1138 1169 2086 2276 2338 3983 4172 4676 7966 15932 24883 49766 84781 95023 99532 169562 174181 190046 339124 348362 380092 593467 665161 696724 1186934 1330322 2373868 2660644 14158427 28316854 56633708 99108989 198217978 396435956