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45105648 = 2437134243
BaseRepresentation
bin1010110000010…
…0000111110000
310010212121022120
42230010013300
543021340043
64250434240
71055251230
oct254040760
9103777276
1045105648
11235085a5
1213132980
139463743
145dc1cc0
153e5e983
hex2b041f0

45105648 has 40 divisors (see below), whose sum is σ = 133170048. Its totient is φ = 12887232.

The previous prime is 45105647. The next prime is 45105653. The reversal of 45105648 is 84650154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45105647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66786 + ... + 67457.

Almost surely, 245105648 is an apocalyptic number.

45105648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45105648 is an abundant number, since it is smaller than the sum of its proper divisors (88064400).

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

45105648 is a wasteful number, since it uses less digits than its factorization.

45105648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134261 (or 134255 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 45105648 is about 6716.0738530782. The cubic root of 45105648 is about 355.9674674644.

It can be divided in two parts, 45105 and 648, that added together give a triangular number (45753 = T302).

The spelling of 45105648 in words is "forty-five million, one hundred five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 134243 268486 402729 536972 805458 939701 1073944 1610916 1879402 2147888 2819103 3221832 3758804 5638206 6443664 7517608 11276412 15035216 22552824 45105648