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63042840 = 23335731269
BaseRepresentation
bin1111000001111…
…1010100011000
311101121220112000
43300133110120
5112114332330
610131121000
71363566240
oct360372430
9141556460
1063042840
113264a023
1219143160
13100a3c73
148530b20
155804560
hex3c1f518

63042840 has 256 divisors, whose sum is σ = 248832000. Its totient is φ = 13893120.

The previous prime is 63042827. The next prime is 63042841. The reversal of 63042840 is 4824036.

63042840 is a `hidden beast` number, since 630 + 4 + 28 + 4 + 0 = 666.

63042840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63042841) 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 63 ways as a sum of consecutive naturals, for example, 234226 + ... + 234494.

It is an arithmetic number, because the mean of its divisors is an integer number (972000).

Almost surely, 263042840 is an apocalyptic number.

63042840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63042840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124416000).

63042840 is an abundant number, since it is smaller than the sum of its proper divisors (185789160).

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

63042840 is a wasteful number, since it uses less digits than its factorization.

63042840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 63042840 is about 7939.9521409137. The cubic root of 63042840 is about 397.9958923172.

Adding to 63042840 its reverse (4824036), we get a palindrome (67866876).

The spelling of 63042840 in words is "sixty-three million, forty-two thousand, eight hundred forty".