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45732648 = 23313236373
BaseRepresentation
bin1010111001110…
…1001100101000
310012001110101210
42232131030220
543201421043
64312113120
71063502223
oct256351450
9105043353
1045732648
11238a6685
12133957a0
139622c50
1461065ba
154035633
hex2b9d328

45732648 has 64 divisors (see below), whose sum is σ = 128499840. Its totient is φ = 13457664.

The previous prime is 45732647. The next prime is 45732667. The reversal of 45732648 is 84623754.

It is a happy number.

45732648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (45732647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3990 + ... + 10362.

It is an arithmetic number, because the mean of its divisors is an integer number (2007810).

Almost surely, 245732648 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 45732648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64249920).

45732648 is an abundant number, since it is smaller than the sum of its proper divisors (82767192).

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

45732648 is a wasteful number, since it uses less digits than its factorization.

45732648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6418 (or 6414 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 45732648 is about 6762.5918108370. The cubic root of 45732648 is about 357.6092821237.

The spelling of 45732648 in words is "forty-five million, seven hundred thirty-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 552 598 897 1196 1794 2392 3588 6373 7176 12746 19119 25492 38238 50984 76476 82849 146579 152952 165698 248547 293158 331396 439737 497094 586316 662792 879474 994188 1172632 1758948 1905527 1988376 3517896 3811054 5716581 7622108 11433162 15244216 22866324 45732648