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396897696 = 253213227467
BaseRepresentation
bin10111101010000…
…010110110100000
31000122211111021200
4113222002312200
51303101211241
6103214521200
712556401066
oct2752026640
91018744250
10396897696
11194047128
12b0b06200
13642c6510
143a9d8036
1524c9e4b6
hex17a82da0

396897696 has 144 divisors (see below), whose sum is σ = 1223468064. Its totient is φ = 121324032.

The previous prime is 396897679. The next prime is 396897701. The reversal of 396897696 is 696798693.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 849655 + ... + 850121.

It is an arithmetic number, because the mean of its divisors is an integer number (8496306).

Almost surely, 2396897696 is an apocalyptic number.

396897696 is a gapful number since it is divisible by the number (36) 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 396897696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611734032).

396897696 is an abundant number, since it is smaller than the sum of its proper divisors (826570368).

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

396897696 is a wasteful number, since it uses less digits than its factorization.

396897696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 712 counting only the distinct ones).

The product of its digits is 26453952, while the sum is 63.

The square root of 396897696 is about 19922.2914344711. The cubic root of 396897696 is about 734.8965229865.

The spelling of 396897696 in words is "three hundred ninety-six million, eight hundred ninety-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 227 234 288 312 416 454 467 468 624 681 908 934 936 1248 1362 1401 1816 1868 1872 2043 2724 2802 2951 3632 3736 3744 4086 4203 5448 5604 5902 6071 7264 7472 8172 8406 8853 10896 11208 11804 12142 14944 16344 16812 17706 18213 21792 22416 23608 24284 26559 32688 33624 35412 36426 44832 47216 48568 53118 54639 65376 67248 70824 72852 94432 97136 106009 106236 109278 134496 141648 145704 194272 212018 212472 218556 283296 291408 318027 424036 424944 437112 582816 636054 848072 849888 874224 954081 1272108 1378117 1696144 1748448 1908162 2544216 2756234 3392288 3816324 4134351 5088432 5512468 7632648 8268702 10176864 11024936 12403053 15265296 16537404 22049872 24806106 30530592 33074808 44099744 49612212 66149616 99224424 132299232 198448848 396897696