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55980324 = 2232292432
BaseRepresentation
bin1101010110001…
…1000100100100
310220100002120100
43111203010210
5103312332244
65315504100
71246552641
oct325430444
9126302510
1055980324
1129665934
12168b8030
13b7a046a
147612dc8
154dabb69
hex3563124

55980324 has 81 divisors (see below), whose sum is σ = 150041073. Its totient is φ = 17597664.

The previous prime is 55980317. The next prime is 55980341. The reversal of 55980324 is 42308955.

The square root of 55980324 is 7482.

It is a perfect power (a square), and thus also a powerful number.

55980324 is a `hidden beast` number, since 559 + 80 + 3 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29354724 + 26625600 = 5418^2 + 5160^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 26 ways as a sum of consecutive naturals, for example, 1301847 + ... + 1301889.

Almost surely, 255980324 is an apocalyptic number.

55980324 is the 7482-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55980324

55980324 is an abundant number, since it is smaller than the sum of its proper divisors (94060749).

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

55980324 is a wasteful number, since it uses less digits than its factorization.

55980324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The cubic root of 55980324 is about 382.5414231699.

Multiplying 55980324 by its sum of digits (36), we get a square (2015291664 = 448922).

55980324 divided by its sum of digits (36) gives a square (1555009 = 12472).

The spelling of 55980324 in words is "fifty-five million, nine hundred eighty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 43 58 86 87 116 129 172 174 258 261 348 387 516 522 774 841 1044 1247 1548 1682 1849 2494 2523 3364 3698 3741 4988 5046 5547 7396 7482 7569 10092 11094 11223 14964 15138 16641 22188 22446 30276 33282 36163 44892 53621 66564 72326 107242 108489 144652 160863 214484 216978 321726 325467 433956 482589 643452 650934 965178 1301868 1555009 1930356 3110018 4665027 6220036 9330054 13995081 18660108 27990162 55980324