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55467216 = 2432731123
BaseRepresentation
bin1101001110010…
…1110011010000
310212101000201100
43103211303100
5103144422331
65300504400
71242315000
oct323456320
9125330640
1055467216
1129345382
12166ab100
13b650a4c
14751c000
154d09ae6
hex34e5cd0

55467216 has 120 divisors (see below), whose sum is σ = 181188800. Its totient is φ = 15833664.

The previous prime is 55467199. The next prime is 55467229. The reversal of 55467216 is 61276455.

It is a happy number.

55467216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×554672162 = 6153224101581312, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 48831 + ... + 49953.

Almost surely, 255467216 is an apocalyptic number.

55467216 is a gapful number since it is divisible by the number (56) 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 55467216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90594400).

55467216 is an abundant number, since it is smaller than the sum of its proper divisors (125721584).

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

55467216 is a wasteful number, since it uses less digits than its factorization.

55467216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1135 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 55467216 is about 7447.6315698348. The cubic root of 55467216 is about 381.3690597963.

The spelling of 55467216 in words is "fifty-five million, four hundred sixty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 343 392 441 504 588 686 784 882 1008 1029 1123 1176 1372 1764 2058 2246 2352 2744 3087 3369 3528 4116 4492 5488 6174 6738 7056 7861 8232 8984 10107 12348 13476 15722 16464 17968 20214 23583 24696 26952 31444 40428 47166 49392 53904 55027 62888 70749 80856 94332 110054 125776 141498 161712 165081 188664 220108 282996 330162 377328 385189 440216 495243 565992 660324 770378 880432 990486 1131984 1155567 1320648 1540756 1980972 2311134 2641296 3081512 3466701 3961944 4622268 6163024 6933402 7923888 9244536 13866804 18489072 27733608 55467216