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45998064 = 2433724153
BaseRepresentation
bin1010111101110…
…1111111110000
310012112221111000
42233131333300
543233414224
64321522000
71065656100
oct257357760
9105487430
1045998064
1123a68032
12134a3300
1396b69b8
146175200
1540890c9
hex2bddff0

45998064 has 240 divisors, whose sum is σ = 160302240. Its totient is φ = 12579840.

The previous prime is 45998059. The next prime is 45998129. The reversal of 45998064 is 46089954.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 867862 + ... + 867914.

It is an arithmetic number, because the mean of its divisors is an integer number (667926).

Almost surely, 245998064 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 45998064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80151120).

45998064 is an abundant number, since it is smaller than the sum of its proper divisors (114304176).

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

45998064 is a wasteful number, since it uses less digits than its factorization.

45998064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 45998064 is about 6782.1872578100. The cubic root of 45998064 is about 358.2997603784.

The spelling of 45998064 in words is "forty-five million, nine hundred ninety-eight thousand, sixty-four".