Search a number
-
+
1084048272 = 2435278819
BaseRepresentation
bin100000010011101…
…0100001110010000
32210112211100200000
41000213110032100
54210004021042
6255322530000
735602154406
oct10047241620
92715740600
101084048272
11506a0a56a
12263066900
131437870a8
14a3d89476
156528474c
hex409d4390

1084048272 has 60 divisors (see below), whose sum is σ = 3146204880. Its totient is φ = 361348128.

The previous prime is 1084048219. The next prime is 1084048297. The reversal of 1084048272 is 2728404801.

1084048272 is a `hidden beast` number, since 108 + 4 + 0 + 482 + 72 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135522 + ... + 143297.

It is an arithmetic number, because the mean of its divisors is an integer number (52436748).

Almost surely, 21084048272 is an apocalyptic number.

1084048272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1084048272 is an abundant number, since it is smaller than the sum of its proper divisors (2062156608).

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

1084048272 is an equidigital number, since it uses as much as digits as its factorization.

1084048272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278842 (or 278824 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 1084048272 is about 32924.8883369405. Note that the first 3 decimals coincide. The cubic root of 1084048272 is about 1027.2659043662.

The spelling of 1084048272 in words is "one billion, eighty-four million, forty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 278819 557638 836457 1115276 1672914 2230552 2509371 3345828 4461104 5018742 6691656 7528113 10037484 13383312 15056226 20074968 22584339 30112452 40149936 45168678 60224904 67753017 90337356 120449808 135506034 180674712 271012068 361349424 542024136 1084048272