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55000512 = 263374547
BaseRepresentation
bin1101000111001…
…1110111000000
310211111022112000
43101303313000
5103040004022
65242504000
71235332230
oct321636700
9124438460
1055000512
1129056776
1216505000
13b5194a8
147439cc0
154c666ac
hex3473dc0

55000512 has 112 divisors (see below), whose sum is σ = 184830720. Its totient is φ = 15710976.

The previous prime is 55000507. The next prime is 55000513. The reversal of 55000512 is 21500055.

55000512 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 (112).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55000513) 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 15 ways as a sum of consecutive naturals, for example, 9823 + ... + 14369.

Almost surely, 255000512 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 55000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92415360).

55000512 is an abundant number, since it is smaller than the sum of its proper divisors (129830208).

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

55000512 is a wasteful number, since it uses less digits than its factorization.

55000512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4575 (or 4559 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 55000512 is about 7416.2330060483. The cubic root of 55000512 is about 380.2964261402.

Adding to 55000512 its reverse (21500055), we get a palindrome (76500567).

The spelling of 55000512 in words is "fifty-five million, five hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 4547 6048 9094 12096 13641 18188 27282 31829 36376 40923 54564 63658 72752 81846 95487 109128 122769 127316 145504 163692 190974 218256 245538 254632 286461 291008 327384 381948 436512 491076 509264 572922 654768 763896 859383 873024 982152 1018528 1145844 1309536 1527792 1718766 1964304 2037056 2291688 2619072 3055584 3437532 3928608 4583376 6111168 6875064 7857216 9166752 13750128 18333504 27500256 55000512