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63438432 = 253660817
BaseRepresentation
bin1111000111111…
…1111001100000
311102101000011120
43301333321200
5112220012212
610143412240
71400134461
oct361777140
9142330146
1063438432
113289a262
12192b4080
13101b2045
1485d4d68
15588188c
hex3c7fe60

63438432 has 24 divisors (see below), whose sum is σ = 166526136. Its totient is φ = 21146112.

The previous prime is 63438409. The next prime is 63438433. The reversal of 63438432 is 23483436.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 63438393 and 63438402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63438433) 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, 330313 + ... + 330504.

It is an arithmetic number, because the mean of its divisors is an integer number (6938589).

Almost surely, 263438432 is an apocalyptic number.

It is an amenable number.

63438432 is an abundant number, since it is smaller than the sum of its proper divisors (103087704).

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

63438432 is a wasteful number, since it uses less digits than its factorization.

63438432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660830 (or 660822 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 63438432 is about 7964.8246685034. The cubic root of 63438432 is about 398.8266280278.

The spelling of 63438432 in words is "sixty-three million, four hundred thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 660817 1321634 1982451 2643268 3964902 5286536 7929804 10573072 15859608 21146144 31719216 63438432