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46089648 = 2434115361
BaseRepresentation
bin1010111111010…
…0010110110000
310012201121010000
42233310112300
543244332043
64323510000
71066520103
oct257642660
9105647100
1046089648
112401a920
1213528300
1397195a7
14619a73a
1540a62d3
hex2bf45b0

46089648 has 200 divisors, whose sum is σ = 150700176. Its totient is φ = 13478400.

The previous prime is 46089643. The next prime is 46089661. The reversal of 46089648 is 84698064.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (46089643) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 755538 + ... + 755598.

Almost surely, 246089648 is an apocalyptic number.

46089648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46089648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75350088).

46089648 is an abundant number, since it is smaller than the sum of its proper divisors (104610528).

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

46089648 is a wasteful number, since it uses less digits than its factorization.

46089648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

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

The square root of 46089648 is about 6788.9357045122. The cubic root of 46089648 is about 358.5373991550.

The spelling of 46089648 in words is "forty-six million, eighty-nine thousand, six hundred forty-eight".