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54609912 = 23327223673
BaseRepresentation
bin1101000001010…
…0011111111000
310210202110201100
43100110133320
5102440004122
65230251400
71232114400
oct320243770
9123673640
1054609912
112890a265
1216356b60
13b410776
147377800
154bdaaac
hex34147f8

54609912 has 144 divisors (see below), whose sum is σ = 179796240. Its totient is φ = 14902272.

The previous prime is 54609901. The next prime is 54609917. The reversal of 54609912 is 21990645.

54609912 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54609917) 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 35 ways as a sum of consecutive naturals, for example, 80808 + ... + 81480.

It is an arithmetic number, because the mean of its divisors is an integer number (1248585).

Almost surely, 254609912 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 54609912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89898120).

54609912 is an abundant number, since it is smaller than the sum of its proper divisors (125186328).

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

54609912 is a wasteful number, since it uses less digits than its factorization.

54609912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 54609912 is about 7389.8519606282. The cubic root of 54609912 is about 379.3940295807.

The spelling of 54609912 in words is "fifty-four million, six hundred nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 49 56 63 69 72 84 92 98 126 138 147 161 168 184 196 207 252 276 294 322 392 414 441 483 504 552 588 644 673 828 882 966 1127 1176 1288 1346 1449 1656 1764 1932 2019 2254 2692 2898 3381 3528 3864 4038 4508 4711 5384 5796 6057 6762 8076 9016 9422 10143 11592 12114 13524 14133 15479 16152 18844 20286 24228 27048 28266 30958 32977 37688 40572 42399 46437 48456 56532 61916 65954 81144 84798 92874 98931 108353 113064 123832 131908 139311 169596 185748 197862 216706 263816 278622 296793 325059 339192 371496 395724 433412 557244 593586 650118 758471 791448 866824 975177 1114488 1187172 1300236 1516942 1950354 2275413 2374344 2600472 3033884 3900708 4550826 6067768 6826239 7801416 9101652 13652478 18203304 27304956 54609912