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55465344 = 2733111459
BaseRepresentation
bin1101001110010…
…1010110000000
310212100221011000
43103211112000
5103144342334
65300452000
71242306354
oct323452600
9125327130
1055465344
1129343a30
12166aa000
13b64cc3c
14751b464
154d09299
hex34e5580

55465344 has 128 divisors (see below), whose sum is σ = 178704000. Its totient is φ = 16796160.

The previous prime is 55465343. The next prime is 55465367. The reversal of 55465344 is 44356455.

55465344 is a `hidden beast` number, since 554 + 65 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 55465299 and 55465308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55465343) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 37287 + ... + 38745.

It is an arithmetic number, because the mean of its divisors is an integer number (1396125).

Almost surely, 255465344 is an apocalyptic number.

55465344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55465344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89352000).

55465344 is an abundant number, since it is smaller than the sum of its proper divisors (123238656).

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

55465344 is a wasteful number, since it uses less digits than its factorization.

55465344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1475 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 55465344 is about 7447.5058912363. The cubic root of 55465344 is about 381.3647693886.

Subtracting from 55465344 its reverse (44356455), we obtain a square (11108889 = 33332).

The spelling of 55465344 in words is "fifty-five million, four hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 792 864 1056 1152 1188 1408 1459 1584 1728 2112 2376 2918 3168 3456 4224 4377 4752 5836 6336 8754 9504 11672 12672 13131 16049 17508 19008 23344 26262 32098 35016 38016 39393 46688 48147 52524 64196 70032 78786 93376 96294 105048 128392 140064 144441 157572 186752 192588 210096 256784 280128 288882 315144 385176 420192 433323 513568 560256 577764 630288 770352 840384 866646 1027136 1155528 1260576 1540704 1680768 1733292 2054272 2311056 2521152 3081408 3466584 4622112 5042304 6162816 6933168 9244224 13866336 18488448 27732672 55465344