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245246040 = 2332513229139
BaseRepresentation
bin11101001111000…
…10100001011000
3122002110210022200
432213202201120
51000240333130
640200250200
76035362014
oct1647424130
9562423280
10245246040
11116486a86
126a170960
133ba69900
14247dd544
15167e5760
hexe9e2858

245246040 has 288 divisors, whose sum is σ = 899262000. Its totient is φ = 57867264.

The previous prime is 245246009. The next prime is 245246041. The reversal of 245246040 is 40642542.

245246040 is a `hidden beast` number, since 2 + 4 + 52 + 4 + 604 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 245245995 and 245246013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245246041) 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 71 ways as a sum of consecutive naturals, for example, 1764291 + ... + 1764429.

Almost surely, 2245246040 is an apocalyptic number.

245246040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245246040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449631000).

245246040 is an abundant number, since it is smaller than the sum of its proper divisors (654015960).

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

245246040 is a wasteful number, since it uses less digits than its factorization.

245246040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 245246040 is about 15660.3333297858. Note that the first 4 decimals coincide. The cubic root of 245246040 is about 625.9418673710.

Adding to 245246040 its reverse (40642542), we get a palindrome (285888582).

The spelling of 245246040 in words is "two hundred forty-five million, two hundred forty-six thousand, forty".