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63201942 = 232191811021
BaseRepresentation
bin1111000100011…
…0001010010110
311101220222202200
43301012022112
5112134430232
610134345330
71365131136
oct361061226
9141828680
1063201942
1132748611
12191bb246
131012b4cb
148572ac6
15583677c
hex3c46296

63201942 has 48 divisors (see below), whose sum is σ = 145083120. Its totient is φ = 19828800.

The previous prime is 63201913. The next prime is 63201947. The reversal of 63201942 is 24910236.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63201947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61392 + ... + 62412.

It is an arithmetic number, because the mean of its divisors is an integer number (3022565).

Almost surely, 263201942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63201942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72541560).

63201942 is an abundant number, since it is smaller than the sum of its proper divisors (81881178).

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

63201942 is a wasteful number, since it uses less digits than its factorization.

63201942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 63201942 is about 7949.9649055829. The cubic root of 63201942 is about 398.3304201200.

It can be divided in two parts, 6320194 and 2, that added together give a square (6320196 = 25142).

The spelling of 63201942 in words is "sixty-three million, two hundred one thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 181 342 362 543 1021 1086 1629 2042 3063 3258 3439 6126 6878 9189 10317 18378 19399 20634 30951 38798 58197 61902 116394 174591 184801 349182 369602 554403 1108806 1663209 3326418 3511219 7022438 10533657 21067314 31600971 63201942