Search a number
-
+
546085440 = 26325189613
BaseRepresentation
bin100000100011001…
…001101001000000
31102001120000101200
4200203021221000
52104244213230
6130104301200
716350435555
oct4043115100
91361500350
10546085440
1126028408a
12132a71800
138919c7a4
1452750a2c
1532e1d160
hex208c9a40

546085440 has 84 divisors (see below), whose sum is σ = 1878316284. Its totient is φ = 145622016.

The previous prime is 546085391. The next prime is 546085483. The reversal of 546085440 is 44580645.

546085440 is a `hidden beast` number, since 5 + 4 + 608 + 5 + 4 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 272646144 + 273439296 = 16512^2 + 16536^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 546085395 and 546085404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91927 + ... + 97686.

Almost surely, 2546085440 is an apocalyptic number.

It is an amenable number.

546085440 is an abundant number, since it is smaller than the sum of its proper divisors (1332230844).

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

546085440 is a wasteful number, since it uses less digits than its factorization.

546085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189636 (or 189623 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 546085440 is about 23368.4710668028. The cubic root of 546085440 is about 817.3728332341.

The spelling of 546085440 in words is "five hundred forty-six million, eighty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 189613 379226 568839 758452 948065 1137678 1516904 1706517 1896130 2275356 2844195 3033808 3413034 3792260 4550712 5688390 6067616 6826068 7584520 8532585 9101424 11376780 12135232 13652136 15169040 17065170 18202848 22753560 27304272 30338080 34130340 36405696 45507120 54608544 60676160 68260680 91014240 109217088 136521360 182028480 273042720 546085440