Search a number
-
+
61608393 = 32711194679
BaseRepresentation
bin1110101100000…
…1000111001001
311021221000211100
43223001013021
5111232432033
610040252013
71345443210
oct353010711
9137830740
1061608393
113185a330
1218771009
13c9c1092
14827a077
15561e513
hex3ac11c9

61608393 has 48 divisors (see below), whose sum is σ = 116812800. Its totient is φ = 30313440.

The previous prime is 61608389. The next prime is 61608397. The reversal of 61608393 is 39380616.

It is a happy number.

61608393 is a `hidden beast` number, since 616 + 0 + 8 + 39 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (61608389) and next prime (61608397).

It is not a de Polignac number, because 61608393 - 22 = 61608389 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61608397) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10828 + ... + 15506.

It is an arithmetic number, because the mean of its divisors is an integer number (2433600).

Almost surely, 261608393 is an apocalyptic number.

61608393 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

61608393 is a deficient number, since it is larger than the sum of its proper divisors (55204407).

61608393 is a wasteful number, since it uses less digits than its factorization.

61608393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4722 (or 4719 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 61608393 is about 7849.1014135377. The cubic root of 61608393 is about 394.9541003120.

It can be divided in two parts, 61608 and 393, that added together give a square (62001 = 2492).

The spelling of 61608393 in words is "sixty-one million, six hundred eight thousand, three hundred ninety-three".

Divisors: 1 3 7 9 11 19 21 33 57 63 77 99 133 171 209 231 399 627 693 1197 1463 1881 4389 4679 13167 14037 32753 42111 51469 88901 98259 154407 266703 294777 360283 463221 622307 800109 977911 1080849 1866921 2933733 3242547 5600763 6845377 8801199 20536131 61608393