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245038464 = 27321161317
BaseRepresentation
bin11101001101011…
…11110110000000
3122002002020120200
432212233312000
51000212212324
640152005200
76033535566
oct1646576600
9562066520
10245038464
11116355030
126a090800
133b9c6298
1424787a36
15167a3ec9
hexe9afd80

245038464 has 192 divisors, whose sum is σ = 784302480. Its totient is φ = 72806400.

The previous prime is 245038351. The next prime is 245038483. The reversal of 245038464 is 464830542.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 772834 + ... + 773150.

Almost surely, 2245038464 is an apocalyptic number.

245038464 is a gapful number since it is divisible by the number (24) 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 245038464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392151240).

245038464 is an abundant number, since it is smaller than the sum of its proper divisors (539264016).

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

245038464 is a wasteful number, since it uses less digits than its factorization.

245038464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 245038464 is about 15653.7044816874. The cubic root of 245038464 is about 625.7652186689.

The spelling of 245038464 in words is "two hundred forty-five million, thirty-eight thousand, four hundred sixty-four".