Search a number
-
+
2985261075 = 35527012
BaseRepresentation
bin1011000111101111…
…0111100000010011
321201001021222100000
42301323313200103
522103211323300
61212120301043
7133656205026
oct26173674023
97631258300
102985261075
1112a2113915
126b3911783
13387623994
1420468b1bd
15127131c00
hexb1ef7813

2985261075 has 54 divisors (see below), whose sum is σ = 5552890252. Its totient is φ = 1589868000.

The previous prime is 2985261061. The next prime is 2985261079. The reversal of 2985261075 is 5701625892.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2985261075 is a `hidden beast` number, since 29 + 8 + 5 + 2 + 610 + 7 + 5 = 666.

It is not a de Polignac number, because 2985261075 - 27 = 2985260947 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2985261075.

It is not an unprimeable number, because it can be changed into a prime (2985261079) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4258225 + ... + 4258925.

Almost surely, 22985261075 is an apocalyptic number.

2985261075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2985261075 is a deficient number, since it is larger than the sum of its proper divisors (2567629177).

2985261075 is an frugal number, since it uses more digits than its factorization.

2985261075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 2985261075 is about 54637.5427247602. The cubic root of 2985261075 is about 1439.8837796828.

The spelling of 2985261075 in words is "two billion, nine hundred eighty-five million, two hundred sixty-one thousand, seventy-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 701 1215 2025 2103 3505 6075 6309 10515 17525 18927 31545 52575 56781 94635 157725 170343 283905 473175 491401 851715 1419525 1474203 2457005 4258575 4422609 7371015 12285025 13267827 22113045 36855075 39803481 66339135 110565225 119410443 199017405 331695675 597052215 995087025 2985261075