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55109824 = 2671153211
BaseRepresentation
bin1101001000111…
…0100011000000
310211200212110121
43102032203000
5103102003244
65245110024
71236266020
oct322164300
9124625417
1055109824
1129120910
1216558314
13b557183
147467a80
154c88c84
hex348e8c0

55109824 has 112 divisors (see below), whose sum is σ = 139574016. Its totient is φ = 20966400.

The previous prime is 55109819. The next prime is 55109827. The reversal of 55109824 is 42890155.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 55109824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55109827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261079 + ... + 261289.

Almost surely, 255109824 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 55109824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69787008).

55109824 is an abundant number, since it is smaller than the sum of its proper divisors (84464192).

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

55109824 is a wasteful number, since it uses less digits than its factorization.

55109824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 55109824 is about 7423.5991271081. The cubic root of 55109824 is about 380.5482022989.

Adding to 55109824 its reverse (42890155), we get a palindrome (97999979).

The spelling of 55109824 in words is "fifty-five million, one hundred nine thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 53 56 64 77 88 106 112 154 176 211 212 224 308 352 371 422 424 448 583 616 704 742 844 848 1166 1232 1477 1484 1688 1696 2321 2332 2464 2954 2968 3376 3392 4081 4642 4664 4928 5908 5936 6752 8162 9284 9328 11183 11816 11872 13504 16247 16324 18568 18656 22366 23632 23744 32494 32648 37136 37312 44732 47264 64988 65296 74272 78281 89464 94528 123013 129976 130592 148544 156562 178928 246026 259952 261184 313124 357856 492052 519904 626248 715712 861091 984104 1039808 1252496 1722182 1968208 2504992 3444364 3936416 5009984 6888728 7872832 13777456 27554912 55109824