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63378768 = 2431320391
BaseRepresentation
bin1111000111000…
…1010101010000
311102020222022210
43301301111100
5112211110033
610142232120
71366465515
oct361612520
9142228283
1063378768
1132859452
1219285640
1310190b3b
1485bb30c
15586dd63
hex3c71550

63378768 has 20 divisors (see below), whose sum is σ = 163728608. Its totient is φ = 21126240.

The previous prime is 63378767. The next prime is 63378773. The reversal of 63378768 is 86787336.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 1320391 = 63378768 / (6 + 3 + 3 + 7 + 8 + 7 + 6 + 8).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63378767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 660148 + ... + 660243.

Almost surely, 263378768 is an apocalyptic number.

It is an amenable number.

63378768 is an abundant number, since it is smaller than the sum of its proper divisors (100349840).

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

63378768 is a wasteful number, since it uses less digits than its factorization.

63378768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320402 (or 1320396 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 63378768 is about 7961.0783189214. The cubic root of 63378768 is about 398.7015563375.

It can be divided in two parts, 63378 and 768, that added together give a palindrome (64146).

The spelling of 63378768 in words is "sixty-three million, three hundred seventy-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 1320391 2640782 3961173 5281564 7922346 10563128 15844692 21126256 31689384 63378768