Search a number
-
+
404697000964 = 22192167412
BaseRepresentation
bin1011110001110011101…
…00100010110000000100
31102200121000210202000111
411320321310202300010
523112304413012324
6505525405122404
741144524515244
oct5707164426004
91380530722014
10404697000964
111466a39a7783
1266524259404
132c21678c059
1415831d0db24
15a7d8e4c794
hex5e39d22c04

404697000964 has 27 divisors (see below), whose sum is σ = 747500953941. Its totient is φ = 191687128560.

The previous prime is 404697000943. The next prime is 404697001013. The reversal of 404697000964 is 469000796404.

It is a happy number.

The square root of 404697000964 is 636158.

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., 395085159364 + 9611841600 = 628558^2 + 98040^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24165634 + ... + 24182374.

Almost surely, 2404697000964 is an apocalyptic number.

404697000964 is the 636158-th square number.

It is an amenable number.

404697000964 is a deficient number, since it is larger than the sum of its proper divisors (342803952977).

404697000964 is an frugal number, since it uses more digits than its factorization.

404697000964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33524 (or 16762 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

Multiplying 404697000964 by its sum of digits (49), we get a square (19830153047236 = 44531062).

The spelling of 404697000964 in words is "four hundred four billion, six hundred ninety-seven million, nine hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 4 19 38 76 361 722 1444 16741 33482 66964 318079 636158 1272316 6043501 12087002 24174004 280261081 560522162 1121044324 5324960539 10649921078 21299842156 101174250241 202348500482 404697000964