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63355045 = 5134123773
BaseRepresentation
bin1111000110101…
…1100010100101
311102012202210011
43301223202211
5112204330140
610141530221
71366336405
oct361534245
9142182704
1063355045
1132842646
1219273971
13101830c0
1485b2805
155866cea
hex3c6b8a5

63355045 has 16 divisors (see below), whose sum is σ = 83874672. Its totient is φ = 45642240.

The previous prime is 63355043. The next prime is 63355049. The reversal of 63355045 is 54055336.

It can be written as a sum of positive squares in 8 ways, for example, as 25421764 + 37933281 = 5042^2 + 6159^2 .

It is not a de Polignac number, because 63355045 - 21 = 63355043 is a prime.

It is a super-4 number, since 4×633550454 (a number of 32 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 63354998 and 63355016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63355043) 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, 9222 + ... + 14551.

It is an arithmetic number, because the mean of its divisors is an integer number (5242167).

Almost surely, 263355045 is an apocalyptic number.

63355045 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

63355045 is a deficient number, since it is larger than the sum of its proper divisors (20519627).

63355045 is a wasteful number, since it uses less digits than its factorization.

63355045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23832.

The product of its (nonzero) digits is 27000, while the sum is 31.

The square root of 63355045 is about 7959.5882431191. The cubic root of 63355045 is about 398.6518047794.

The spelling of 63355045 in words is "sixty-three million, three hundred fifty-five thousand, forty-five".

Divisors: 1 5 13 41 65 205 533 2665 23773 118865 309049 974693 1545245 4873465 12671009 63355045