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55016544 = 2531153983
BaseRepresentation
bin1101000111011…
…1110001100000
310211112010111210
43101313301200
5103041012134
65243110120
71235430042
oct321676140
9124463453
1055016544
1129067820
1216512340
13b52388b
147441a92
154c6b2e9
hex3477c60

55016544 has 96 divisors (see below), whose sum is σ = 160683264. Its totient is φ = 16340480.

The previous prime is 55016531. The next prime is 55016587. The reversal of 55016544 is 44561055.

55016544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×550165442 = 6053640227407872, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 55477 + ... + 56459.

It is an arithmetic number, because the mean of its divisors is an integer number (1673784).

Almost surely, 255016544 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 55016544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80341632).

55016544 is an abundant number, since it is smaller than the sum of its proper divisors (105666720).

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

55016544 is a wasteful number, since it uses less digits than its factorization.

55016544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 55016544 is about 7417.3137994829. The cubic root of 55016544 is about 380.3333731902. Note that the first 4 decimals are identical.

Adding to 55016544 its reverse (44561055), we get a palindrome (99577599).

The spelling of 55016544 in words is "fifty-five million, sixteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 66 88 96 106 132 159 176 212 264 318 352 424 528 583 636 848 983 1056 1166 1272 1696 1749 1966 2332 2544 2949 3498 3932 4664 5088 5898 6996 7864 9328 10813 11796 13992 15728 18656 21626 23592 27984 31456 32439 43252 47184 52099 55968 64878 86504 94368 104198 129756 156297 173008 208396 259512 312594 346016 416792 519024 573089 625188 833584 1038048 1146178 1250376 1667168 1719267 2292356 2500752 3438534 4584712 5001504 6877068 9169424 13754136 18338848 27508272 55016544