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5505984 = 263211279
BaseRepresentation
bin10101000000001111000000
3101100201210100
4111000033000
52402142414
6314002400
764541301
oct25001700
911321710
105505984
113120800
121a16400
1311aa1a3
14a347a8
1573b609
hex5403c0

5505984 has 126 divisors (see below), whose sum is σ = 17566640. Its totient is φ = 1647360.

The previous prime is 5505967. The next prime is 5505989. The reversal of 5505984 is 4895055.

It is a happy number.

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5505989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 69657 + ... + 69735.

Almost surely, 25505984 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 5505984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8783320).

5505984 is an abundant number, since it is smaller than the sum of its proper divisors (12060656).

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

5505984 is a wasteful number, since it uses less digits than its factorization.

5505984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 5505984 is about 2346.4833261713. The cubic root of 5505984 is about 176.5814105466.

The spelling of 5505984 in words is "five million, five hundred five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 79 88 96 99 121 132 144 158 176 192 198 237 242 264 288 316 352 363 396 474 484 528 576 632 704 711 726 792 869 948 968 1056 1089 1264 1422 1452 1584 1738 1896 1936 2112 2178 2528 2607 2844 2904 3168 3476 3792 3872 4356 5056 5214 5688 5808 6336 6952 7584 7744 7821 8712 9559 10428 11376 11616 13904 15168 15642 17424 19118 20856 22752 23232 27808 28677 31284 34848 38236 41712 45504 55616 57354 62568 69696 76472 83424 86031 114708 125136 152944 166848 172062 229416 250272 305888 344124 458832 500544 611776 688248 917664 1376496 1835328 2752992 5505984