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397658882404 = 227231214532
BaseRepresentation
bin1011100100101100101…
…00010000000101100100
31102000102112100021101201
411302112110100011210
523003401133214104
6502403145532244
740505233505200
oct5622624200544
91360375307351
10397658882404
11143712088073
126509b1a4084
132b6645caa64
14153652adb00
15a5261040a4
hex5c96510164

397658882404 has 81 divisors (see below), whose sum is σ = 837051869241. Its totient is φ = 164814138720.

The previous prime is 397658882399. The next prime is 397658882407. The reversal of 397658882404 is 404288856793.

The square root of 397658882404 is 630602.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 387867384100 + 9791498304 = 622790^2 + 98952^2 .

It is not an unprimeable number, because it can be changed into a prime (397658882407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 273680542 + ... + 273681994.

Almost surely, 2397658882404 is an apocalyptic number.

397658882404 is the 630602-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397658882404

397658882404 is an abundant number, since it is smaller than the sum of its proper divisors (439392986837).

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

397658882404 is an equidigital number, since it uses as much as digits as its factorization.

397658882404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 64.

Multiplying 397658882404 by its sum of digits (64), we get a square (25450168473856 = 50448162).

It can be divided in two parts, 39765 and 8882404, that added together give a square (8922169 = 29872).

The spelling of 397658882404 in words is "three hundred ninety-seven billion, six hundred fifty-eight million, eight hundred eighty-two thousand, four hundred four".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 434 868 961 1453 1519 1922 2906 3038 3844 5812 6076 6727 10171 13454 20342 26908 40684 45043 47089 71197 90086 94178 142394 180172 188356 284788 315301 630602 1261204 1396333 2111209 2207107 2792666 4222418 4414214 5585332 8444836 8828428 9774331 14778463 19548662 29556926 39097324 59113852 65447479 68420317 103449241 130894958 136840634 206898482 261789916 273681268 413796964 458132353 916264706 1832529412 2028871849 3206926471 4057743698 6413852942 8115487396 12827705884 14202102943 28404205886 56808411772 99414720601 198829441202 397658882404