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63405901 = 1337612161
BaseRepresentation
bin1111000111011…
…1111101001101
311102022100112201
43301313331031
5112212442101
610143001501
71366640566
oct361677515
9142270481
1063405901
1132877879
1219299291
13101a02b0
1485c716d
155876e01
hex3c77f4d

63405901 has 16 divisors (see below), whose sum is σ = 71311408. Its totient is φ = 55987200.

The previous prime is 63405899. The next prime is 63405913. The reversal of 63405901 is 10950436.

63405901 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 8 ways, for example, as 2643876 + 60762025 = 1626^2 + 7795^2 .

It is a 5-Lehmer number, since φ(63405901) divides (63405901-1)5.

It is a cyclic number.

It is not a de Polignac number, because 63405901 - 21 = 63405899 is a prime.

It is a deceptive number, since it divides R63405900.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 63405901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63405931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28261 + ... + 30421.

It is an arithmetic number, because the mean of its divisors is an integer number (4456963).

Almost surely, 263405901 is an apocalyptic number.

63405901 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

63405901 is a deficient number, since it is larger than the sum of its proper divisors (7905507).

63405901 is a wasteful number, since it uses less digits than its factorization.

63405901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272.

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 63405901 is about 7962.7822398958. The cubic root of 63405901 is about 398.7584440844.

The spelling of 63405901 in words is "sixty-three million, four hundred five thousand, nine hundred one".

Divisors: 1 13 37 61 481 793 2161 2257 28093 29341 79957 131821 1039441 1713673 4877377 63405901