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45454164 = 22372233361
BaseRepresentation
bin1010110101100…
…1001101010100
310011112022101120
42231121031110
543114013124
64302123540
71061232300
oct255311524
9104468346
1045454164
1123726428
12132805b0
139556272
146072d00
153eccd79
hex2b59354

45454164 has 72 divisors (see below), whose sum is σ = 128778048. Its totient is φ = 12418560.

The previous prime is 45454159. The next prime is 45454183. The reversal of 45454164 is 46145454.

45454164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11844 + ... + 15204.

It is an arithmetic number, because the mean of its divisors is an integer number (1788584).

Almost surely, 245454164 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 45454164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64389024).

45454164 is an abundant number, since it is smaller than the sum of its proper divisors (83323884).

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

45454164 is a wasteful number, since it uses less digits than its factorization.

45454164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3405 (or 3396 counting only the distinct ones).

The product of its digits is 38400, while the sum is 33.

The square root of 45454164 is about 6741.9703351468. The cubic root of 45454164 is about 356.8819294285.

The spelling of 45454164 in words is "forty-five million, four hundred fifty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 276 294 322 483 588 644 966 1127 1932 2254 3361 3381 4508 6722 6762 10083 13444 13524 20166 23527 40332 47054 70581 77303 94108 141162 154606 164689 231909 282324 309212 329378 463818 494067 541121 658756 927636 988134 1082242 1623363 1976268 2164484 3246726 3787847 6493452 7575694 11363541 15151388 22727082 45454164