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46980648 = 233511133
BaseRepresentation
bin1011001100110…
…1111000101000
310021101212100000
42303031320220
544011340043
64354543000
71110220551
oct263157050
9107355300
1046980648
1124579290
1213897a60
13996c000
14634d328
1541d02d3
hex2ccde28

46980648 has 192 divisors, whose sum is σ = 155937600. Its totient is φ = 13141440.

The previous prime is 46980641. The next prime is 46980679. The reversal of 46980648 is 84608964.

It is a happy number.

46980648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (46980641) 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 47 ways as a sum of consecutive naturals, for example, 3613890 + ... + 3613902.

It is an arithmetic number, because the mean of its divisors is an integer number (812175).

Almost surely, 246980648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46980648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77968800).

46980648 is an abundant number, since it is smaller than the sum of its proper divisors (108956952).

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

46980648 is a wasteful number, since it uses less digits than its factorization.

46980648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 46980648 is about 6854.2430654303. The cubic root of 46980648 is about 360.8330707163.

The spelling of 46980648 in words is "forty-six million, nine hundred eighty thousand, six hundred forty-eight".