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45128096 = 2513831307
BaseRepresentation
bin1010110000100…
…1100110100000
310010220202002222
42230021212200
543023044341
64251130212
71055403536
oct254114640
9103822088
1045128096
1123523452
1213143968
139470a20
145dca156
153e6644b
hex2b099a0

45128096 has 48 divisors (see below), whose sum is σ = 96907104. Its totient is φ = 20561664.

The previous prime is 45128087. The next prime is 45128107. The reversal of 45128096 is 69082154.

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, 33875 + ... + 35181.

It is an arithmetic number, because the mean of its divisors is an integer number (2018898).

Almost surely, 245128096 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 45128096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48453552).

45128096 is an abundant number, since it is smaller than the sum of its proper divisors (51779008).

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

45128096 is a wasteful number, since it uses less digits than its factorization.

45128096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 45128096 is about 6717.7448596981. The cubic root of 45128096 is about 356.0265098299.

The spelling of 45128096 in words is "forty-five million, one hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 83 104 166 208 332 416 664 1079 1307 1328 2158 2614 2656 4316 5228 8632 10456 16991 17264 20912 33982 34528 41824 67964 108481 135928 216962 271856 433924 543712 867848 1410253 1735696 2820506 3471392 5641012 11282024 22564048 45128096