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540055626 = 2311173713009
BaseRepresentation
bin100000001100001…
…001100001001010
31101122012200001020
4200030021201022
52101223240001
6125331133310
716245253125
oct4014114112
91348180036
10540055626
11257935870
12130a44236
1387b6b056
1451a213bc
153262b736
hex2030984a

540055626 has 64 divisors (see below), whose sum is σ = 1281432960. Its totient is φ = 149852160.

The previous prime is 540055597. The next prime is 540055687. The reversal of 540055626 is 626550045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35010 + ... + 48018.

It is an arithmetic number, because the mean of its divisors is an integer number (20022390).

Almost surely, 2540055626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540055626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640716480).

540055626 is an abundant number, since it is smaller than the sum of its proper divisors (741377334).

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

540055626 is a wasteful number, since it uses less digits than its factorization.

540055626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13079.

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 540055626 is about 23239.0969273765. The cubic root of 540055626 is about 814.3532455359.

The spelling of 540055626 in words is "five hundred forty million, fifty-five thousand, six hundred twenty-six".

Divisors: 1 2 3 6 11 17 22 33 34 37 51 66 74 102 111 187 222 374 407 561 629 814 1122 1221 1258 1887 2442 3774 6919 13009 13838 20757 26018 39027 41514 78054 143099 221153 286198 429297 442306 481333 663459 858594 962666 1326918 1443999 2432683 2887998 4865366 5294663 7298049 8182661 10589326 14596098 15883989 16365322 24547983 31767978 49095966 90009271 180018542 270027813 540055626