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63828945 = 3354311097
BaseRepresentation
bin1111001101111…
…1001111010001
311110002211212000
43303133033101
5112320011240
610200024213
71403352135
oct363371721
9143084760
1063828945
11330366a4
1219462069
13102baa0b
1486973c5
15590c430
hex3cdf3d1

63828945 has 32 divisors (see below), whose sum is σ = 113840640. Its totient is φ = 33932160.

The previous prime is 63828943. The next prime is 63828967. The reversal of 63828945 is 54982836.

63828945 is a `hidden beast` number, since 638 + 2 + 8 + 9 + 4 + 5 = 666.

It is not a de Polignac number, because 63828945 - 21 = 63828943 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (414720) is a multiple of the sum of its prime divisors (1536).

It is a self number, because there is not a number n which added to its sum of digits gives 63828945.

It is not an unprimeable number, because it can be changed into a prime (63828943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57637 + ... + 58733.

It is an arithmetic number, because the mean of its divisors is an integer number (3557520).

Almost surely, 263828945 is an apocalyptic number.

It is an amenable number.

63828945 is a deficient number, since it is larger than the sum of its proper divisors (50011695).

63828945 is a wasteful number, since it uses less digits than its factorization.

63828945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1536 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 63828945 is about 7989.3019094286. The cubic root of 63828945 is about 399.6433174551.

The spelling of 63828945 in words is "sixty-three million, eight hundred twenty-eight thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 431 1097 1293 2155 3291 3879 5485 6465 9873 11637 16455 19395 29619 49365 58185 148095 472807 1418421 2364035 4255263 7092105 12765789 21276315 63828945