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61632048 = 2431967579
BaseRepresentation
bin1110101100011…
…0111000110000
311021222020021110
43223012320300
5111234211143
610040553320
71345602162
oct353067060
9137866243
1061632048
1131876085
1218782840
13c9cba8a
148284932
155626533
hex3ac6e30

61632048 has 40 divisors (see below), whose sum is σ = 167598400. Its totient is φ = 19462464.

The previous prime is 61632037. The next prime is 61632073. The reversal of 61632048 is 84023616.

61632048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 32878 + ... + 34701.

It is an arithmetic number, because the mean of its divisors is an integer number (4189960).

Almost surely, 261632048 is an apocalyptic number.

It is an amenable number.

61632048 is an abundant number, since it is smaller than the sum of its proper divisors (105966352).

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

61632048 is a wasteful number, since it uses less digits than its factorization.

61632048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67609 (or 67603 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 61632048 is about 7850.6081293107. The cubic root of 61632048 is about 395.0046423639.

The spelling of 61632048 in words is "sixty-one million, six hundred thirty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 67579 135158 202737 270316 405474 540632 810948 1081264 1284001 1621896 2568002 3243792 3852003 5136004 7704006 10272008 15408012 20544016 30816024 61632048