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45148096 = 267179563
BaseRepresentation
bin1010110000111…
…0011111000000
310010221202112201
42230032133000
543024214341
64251402544
71055516050
oct254163700
9103852481
1045148096
1123537484
1213153454
139479b66
145dd3560
153e6c331
hex2b0e7c0

45148096 has 56 divisors (see below), whose sum is σ = 103144320. Its totient is φ = 19206912.

The previous prime is 45148067. The next prime is 45148109. The reversal of 45148096 is 69084154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79911 + ... + 80473.

Almost surely, 245148096 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 45148096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51572160).

45148096 is an abundant number, since it is smaller than the sum of its proper divisors (57996224).

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

45148096 is a wasteful number, since it uses less digits than its factorization.

45148096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 45148096 is about 6719.2332895949. The cubic root of 45148096 is about 356.0790970146.

The spelling of 45148096 in words is "forty-five million, one hundred forty-eight thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 179 224 358 448 563 716 1126 1253 1432 2252 2506 2864 3941 4504 5012 5728 7882 9008 10024 11456 15764 18016 20048 31528 36032 40096 63056 80192 100777 126112 201554 252224 403108 705439 806216 1410878 1612432 2821756 3224864 5643512 6449728 11287024 22574048 45148096