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45422424 = 23332341223
BaseRepresentation
bin1010110101000…
…1011101011000
310011110200212000
42231101131120
543112004144
64301321000
71061040615
oct255213530
9104420760
1045422424
11237045a3
1213266160
139544998
14606550c
153ec3769
hex2b51758

45422424 has 128 divisors (see below), whose sum is σ = 135475200. Its totient is φ = 14065920.

The previous prime is 45422413. The next prime is 45422459. The reversal of 45422424 is 42422454.

45422424 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 (27).

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 31 ways as a sum of consecutive naturals, for example, 203577 + ... + 203799.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 245422424 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 45422424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67737600).

45422424 is an abundant number, since it is smaller than the sum of its proper divisors (90052776).

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

45422424 is a wasteful number, since it uses less digits than its factorization.

45422424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 292 counting only the distinct ones).

The product of its digits is 10240, while the sum is 27.

The square root of 45422424 is about 6739.6160128007. The cubic root of 45422424 is about 356.7988415508.

Adding to 45422424 its reverse (42422454), we get a palindrome (87844878).

The spelling of 45422424 in words is "forty-five million, four hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 41 46 54 69 72 82 92 108 123 138 164 184 207 216 223 246 276 328 369 414 446 492 552 621 669 738 828 892 943 984 1107 1242 1338 1476 1656 1784 1886 2007 2214 2484 2676 2829 2952 3772 4014 4428 4968 5129 5352 5658 6021 7544 8028 8487 8856 9143 10258 11316 12042 15387 16056 16974 18286 20516 22632 24084 25461 27429 30774 33948 36572 41032 46161 48168 50922 54858 61548 67896 73144 82287 92322 101844 109716 123096 138483 164574 184644 203688 210289 219432 246861 276966 329148 369288 420578 493722 553932 630867 658296 841156 987444 1107864 1261734 1682312 1892601 1974888 2523468 3785202 5046936 5677803 7570404 11355606 15140808 22711212 45422424