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45162064 = 2417237219
BaseRepresentation
bin1010110001000…
…1111001010000
310010222110201001
42230101321100
543030141224
64251551344
71055604553
oct254217120
9103873631
1045162064
1123546a22
121315b554
13948331c
145dd869a
153e71544
hex2b11e50

45162064 has 40 divisors (see below), whose sum is σ = 96690240. Its totient is φ = 20325888.

The previous prime is 45162059. The next prime is 45162109. The reversal of 45162064 is 46026154.

45162064 = T104 + T105 + ... + T647.

It is a super-2 number, since 2×451620642 = 4079224049480192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2647 + ... + 9865.

It is an arithmetic number, because the mean of its divisors is an integer number (2417256).

Almost surely, 245162064 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 45162064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48345120).

45162064 is an abundant number, since it is smaller than the sum of its proper divisors (51528176).

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

45162064 is a wasteful number, since it uses less digits than its factorization.

45162064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7267 (or 7261 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 45162064 is about 6720.2726135180. The cubic root of 45162064 is about 356.1158146944.

The spelling of 45162064 in words is "forty-five million, one hundred sixty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 272 368 391 782 1564 3128 6256 7219 14438 28876 57752 115504 122723 166037 245446 332074 490892 664148 981784 1328296 1963568 2656592 2822629 5645258 11290516 22581032 45162064