Search a number
-
+
253791945 = 32511512711
BaseRepresentation
bin11110010000010…
…00111011001001
3122200112222002200
433020020323021
51004432320240
641103350413
76201124131
oct1710107311
9580488080
10253791945
11120293710
1270bb2409
134076c664
14259c5ac1
1517432930
hexf208ec9

253791945 has 24 divisors (see below), whose sum is σ = 479898432. Its totient is φ = 123050400.

The previous prime is 253791943. The next prime is 253791973. The reversal of 253791945 is 549197352.

It is a happy number.

It is not a de Polignac number, because 253791945 - 21 = 253791943 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 253791945.

It is not an unprimeable number, because it can be changed into a prime (253791943) 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 23 ways as a sum of consecutive naturals, for example, 255861 + ... + 256850.

It is an arithmetic number, because the mean of its divisors is an integer number (19995768).

Almost surely, 2253791945 is an apocalyptic number.

It is an amenable number.

253791945 is a deficient number, since it is larger than the sum of its proper divisors (226106487).

253791945 is a wasteful number, since it uses less digits than its factorization.

253791945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512733 (or 512730 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 253791945 is about 15930.8488474406. The cubic root of 253791945 is about 633.1295902032.

The spelling of 253791945 in words is "two hundred fifty-three million, seven hundred ninety-one thousand, nine hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 512711 1538133 2563555 4614399 5639821 7690665 16919463 23071995 28199105 50758389 84597315 253791945