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46790016 = 2737132103
BaseRepresentation
bin1011001001111…
…1010110000000
310021001011211120
42302133112000
543434240031
64350512240
71105465020
oct262372600
9107034746
1046790016
1124459039
1213805680
139903300
1462dda80
154193a96
hex2c9f580

46790016 has 192 divisors, whose sum is σ = 155301120. Its totient is φ = 12220416.

The previous prime is 46789997. The next prime is 46790017. The reversal of 46790016 is 61009764.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46790017) 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, 454221 + ... + 454323.

It is an arithmetic number, because the mean of its divisors is an integer number (808860).

Almost surely, 246790016 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 46790016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77650560).

46790016 is an abundant number, since it is smaller than the sum of its proper divisors (108511104).

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

46790016 is a wasteful number, since it uses less digits than its factorization.

46790016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 46790016 is about 6840.3227994006. The cubic root of 46790016 is about 360.3443618500.

The spelling of 46790016 in words is "forty-six million, seven hundred ninety thousand, sixteen".