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245433040 = 24522913397
BaseRepresentation
bin11101010000100…
…00001011010000
3122002211021211121
432220100023100
51000312324130
640204252024
76040101136
oct1650201320
9562737747
10245433040
111165a4526
126a241014
133bb03a68
142484b756
1516830d7a
hexea102d0

245433040 has 40 divisors (see below), whose sum is σ = 573166440. Its totient is φ = 97737216.

The previous prime is 245433017. The next prime is 245433049. The reversal of 245433040 is 40334542.

It can be written as a sum of positive squares in 4 ways, for example, as 18870336 + 226562704 = 4344^2 + 15052^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 245432996 and 245433014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245433049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11622 + ... + 25018.

It is an arithmetic number, because the mean of its divisors is an integer number (14329161).

Almost surely, 2245433040 is an apocalyptic number.

245433040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245433040 is an abundant number, since it is smaller than the sum of its proper divisors (327733400).

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

245433040 is a wasteful number, since it uses less digits than its factorization.

245433040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13639 (or 13633 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 245433040 is about 15666.3026908074. The cubic root of 245433040 is about 626.1009204201.

Adding to 245433040 its reverse (40334542), we get a palindrome (285767582).

The spelling of 245433040 in words is "two hundred forty-five million, four hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 229 458 916 1145 1832 2290 3664 4580 9160 13397 18320 26794 53588 66985 107176 133970 214352 267940 535880 1071760 3067913 6135826 12271652 15339565 24543304 30679130 49086608 61358260 122716520 245433040