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245388000 = 25353112132
BaseRepresentation
bin11101010000001…
…01001011100000
3122002202000001110
432220011023200
51000304404000
640203303320
76036522624
oct1650051340
9562660043
10245388000
11116573700
126a21ab40
133bab9400
1424839184
1516822850
hexea052e0

245388000 has 432 divisors, whose sum is σ = 956814768. Its totient is φ = 54912000.

The previous prime is 245387957. The next prime is 245388007. The reversal of 245388000 is 883542.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245388007) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 18875994 + ... + 18876006.

It is an arithmetic number, because the mean of its divisors is an integer number (2214849).

Almost surely, 2245388000 is an apocalyptic number.

245388000 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 245388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478407384).

245388000 is an abundant number, since it is smaller than the sum of its proper divisors (711426768).

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

245388000 is a wasteful number, since it uses less digits than its factorization.

245388000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 245388000 is about 15664.8651446478. The cubic root of 245388000 is about 626.0626189882.

Multiplying 245388000 by its sum of digits (30), we get a square (7361640000 = 858002).

245388000 divided by its sum of digits (30) gives a square (8179600 = 28602).

Multiplying 245388000 by its product of nonzero digits (7680), we get a square (1884579840000 = 13728002).

The spelling of 245388000 in words is "two hundred forty-five million, three hundred eighty-eight thousand".