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63427000 = 23537131741
BaseRepresentation
bin1111000111110…
…1000110111000
311102100102111011
43301331012320
5112214131000
610143243304
71400056240
oct361750670
9142312434
1063427000
113289170a
12192a9534
13101a9a90
1485d0b20
15587d2ba
hex3c7d1b8

63427000 has 256 divisors, whose sum is σ = 198132480. Its totient is φ = 18432000.

The previous prime is 63426989. The next prime is 63427009. The reversal of 63427000 is 72436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63427009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1546980 + ... + 1547020.

It is an arithmetic number, because the mean of its divisors is an integer number (773955).

Almost surely, 263427000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63427000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

63427000 is an abundant number, since it is smaller than the sum of its proper divisors (134705480).

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

63427000 is a wasteful number, since it uses less digits than its factorization.

63427000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 63427000 is about 7964.1069806978. The cubic root of 63427000 is about 398.8026695757.

Adding to 63427000 its reverse (72436), we get a palindrome (63499436).

The spelling of 63427000 in words is "sixty-three million, four hundred twenty-seven thousand".