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45105336 = 2334471481
BaseRepresentation
bin1010110000010…
…0000010111000
310010212120220000
42230010002320
543021332321
64250433000
71055250303
oct254040270
9103776800
1045105336
1123508341
1213132760
139463563
145dc1b3a
153e5e826
hex2b040b8

45105336 has 80 divisors (see below), whose sum is σ = 129111840. Its totient is φ = 14705280.

The previous prime is 45105311. The next prime is 45105337. The reversal of 45105336 is 63350154.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45105337) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29716 + ... + 31196.

It is an arithmetic number, because the mean of its divisors is an integer number (1613898).

Almost surely, 245105336 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 45105336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64555920).

45105336 is an abundant number, since it is smaller than the sum of its proper divisors (84006504).

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

45105336 is a wasteful number, since it uses less digits than its factorization.

45105336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 45105336 is about 6716.0506251814. The cubic root of 45105336 is about 355.9666467090.

The spelling of 45105336 in words is "forty-five million, one hundred five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 81 94 108 141 162 188 216 282 324 376 423 564 648 846 1128 1269 1481 1692 2538 2962 3384 3807 4443 5076 5924 7614 8886 10152 11848 13329 15228 17772 26658 30456 35544 39987 53316 69607 79974 106632 119961 139214 159948 208821 239922 278428 319896 417642 479844 556856 626463 835284 959688 1252926 1670568 1879389 2505852 3758778 5011704 5638167 7517556 11276334 15035112 22552668 45105336