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245417540 = 22529694133
BaseRepresentation
bin11101010000011…
…00011001000100
3122002210111120112
432220030121010
51000311330130
640204052152
76040005014
oct1650143104
9562714515
10245417540
11116593915
126a234058
133bac99a4
1424845c44
151682b495
hexea0c644

245417540 has 24 divisors (see below), whose sum is σ = 515675160. Its totient is φ = 98110208.

The previous prime is 245417519. The next prime is 245417561. The reversal of 245417540 is 45714542.

It is an interprime number because it is at equal distance from previous prime (245417519) and next prime (245417561).

It can be written as a sum of positive squares in 4 ways, for example, as 2119936 + 243297604 = 1456^2 + 15598^2 .

It is a junction number, because it is equal to n+sod(n) for n = 245417497 and 245417506.

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 7 ways as a sum of consecutive naturals, for example, 57314 + ... + 61446.

It is an arithmetic number, because the mean of its divisors is an integer number (21486465).

Almost surely, 2245417540 is an apocalyptic number.

245417540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245417540 is an abundant number, since it is smaller than the sum of its proper divisors (270257620).

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

245417540 is a wasteful number, since it uses less digits than its factorization.

245417540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7111 (or 7109 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 32.

The square root of 245417540 is about 15665.8079906528. The cubic root of 245417540 is about 626.0877399500.

The spelling of 245417540 in words is "two hundred forty-five million, four hundred seventeen thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 2969 4133 5938 8266 11876 14845 16532 20665 29690 41330 59380 82660 12270877 24541754 49083508 61354385 122708770 245417540