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245793240 = 233257118867
BaseRepresentation
bin11101010011010…
…00000111011000
3122010111120221100
432221220013120
51000410340430
640220111400
76043131240
oct1651500730
9563446840
10245793240
11116820110
126a395560
133bbcb9b4
1424902b20
15168a2960
hexea681d8

245793240 has 192 divisors, whose sum is σ = 996053760. Its totient is φ = 51068160.

The previous prime is 245793239. The next prime is 245793269. The reversal of 245793240 is 42397542.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 245793195 and 245793204.

It is a congruent number.

It is an unprimeable number.

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, 23287 + ... + 32153.

It is an arithmetic number, because the mean of its divisors is an integer number (5187780).

Almost surely, 2245793240 is an apocalyptic number.

245793240 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 245793240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498026880).

245793240 is an abundant number, since it is smaller than the sum of its proper divisors (750260520).

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

245793240 is a wasteful number, since it uses less digits than its factorization.

245793240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8902 (or 8895 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 245793240 is about 15677.7944877460. The cubic root of 245793240 is about 626.4070613748.

The spelling of 245793240 in words is "two hundred forty-five million, seven hundred ninety-three thousand, two hundred forty".