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63429640 = 2351818761
BaseRepresentation
bin1111000111110…
…1110000001000
311102100120002221
43301331300020
5112214222030
610143303424
71400100031
oct361756010
9142316087
1063429640
113289369a
12192aab74
13101ab041
1485d1a88
15587de7a
hex3c7dc08

63429640 has 32 divisors (see below), whose sum is σ = 143521560. Its totient is φ = 25228800.

The previous prime is 63429631. The next prime is 63429647. The reversal of 63429640 is 4692436.

63429640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15570916 + 47858724 = 3946^2 + 6918^2 .

It is a junction number, because it is equal to n+sod(n) for n = 63429596 and 63429605.

It is not an unprimeable number, because it can be changed into a prime (63429647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2860 + ... + 11620.

Almost surely, 263429640 is an apocalyptic number.

It is an amenable number.

63429640 is an abundant number, since it is smaller than the sum of its proper divisors (80091920).

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

63429640 is a wasteful number, since it uses less digits than its factorization.

63429640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8953 (or 8949 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 63429640 is about 7964.2727226031. The cubic root of 63429640 is about 398.8082025739.

The spelling of 63429640 in words is "sixty-three million, four hundred twenty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 181 362 724 905 1448 1810 3620 7240 8761 17522 35044 43805 70088 87610 175220 350440 1585741 3171482 6342964 7928705 12685928 15857410 31714820 63429640