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2493943947 = 32113613413
BaseRepresentation
bin1001010010100110…
…1001000010001011
320102210210110221100
42110221221002023
520101422201242
61051245512443
7115542113415
oct22451510213
96383713840
102493943947
11106a848000
12597272723
133098bbaa1
141993159b5
15e8e3154c
hex94a6908b

2493943947 has 48 divisors (see below), whose sum is σ = 4028465376. Its totient is φ = 1486267200.

The previous prime is 2493943913. The next prime is 2493943951. The reversal of 2493943947 is 7493493942.

It is a happy number.

2493943947 is a `hidden beast` number, since 249 + 3 + 9 + 4 + 394 + 7 = 666.

It is not a de Polignac number, because 2493943947 - 26 = 2493943883 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2493943893 and 2493943902.

It is not an unprimeable number, because it can be changed into a prime (2493943987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 729013 + ... + 732425.

It is an arithmetic number, because the mean of its divisors is an integer number (83926362).

Almost surely, 22493943947 is an apocalyptic number.

2493943947 is a deficient number, since it is larger than the sum of its proper divisors (1534521429).

2493943947 is a wasteful number, since it uses less digits than its factorization.

2493943947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513 (or 3488 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 2493943947 is about 49939.4027497326. The cubic root of 2493943947 is about 1356.1120117223.

It can be divided in two parts, 24939 and 43947, that added together give a palindrome (68886).

The spelling of 2493943947 in words is "two billion, four hundred ninety-three million, nine hundred forty-three thousand, nine hundred forty-seven".

Divisors: 1 3 9 11 33 61 99 121 183 363 549 671 1089 1331 2013 3413 3993 6039 7381 10239 11979 22143 30717 37543 66429 81191 112629 208193 243573 337887 412973 624579 730719 1238919 1873737 2290123 3716757 4542703 6870369 13628109 20611107 25191353 40884327 75574059 226722177 277104883 831314649 2493943947