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55108816 = 2471922947
BaseRepresentation
bin1101001000111…
…0010011010000
310211200211002021
43102032103100
5103101440231
65245101224
71236263050
oct322162320
9124624067
1055108816
1129120084
1216557814
13b556889
147467560
154c88811
hex348e4d0

55108816 has 120 divisors (see below), whose sum is σ = 136062720. Its totient is φ = 21143808.

The previous prime is 55108813. The next prime is 55108819. The reversal of 55108816 is 61880155.

It is an interprime number because it is at equal distance from previous prime (55108813) and next prime (55108819).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55108813) 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 23 ways as a sum of consecutive naturals, for example, 1172505 + ... + 1172551.

It is an arithmetic number, because the mean of its divisors is an integer number (1133856).

Almost surely, 255108816 is an apocalyptic number.

55108816 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 55108816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68031360).

55108816 is an abundant number, since it is smaller than the sum of its proper divisors (80953904).

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

55108816 is a wasteful number, since it uses less digits than its factorization.

55108816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 34.

The square root of 55108816 is about 7423.5312352007. The cubic root of 55108816 is about 380.5458821141.

The spelling of 55108816 in words is "fifty-five million, one hundred eight thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 29 38 47 56 58 76 94 112 116 133 152 188 203 232 266 304 329 361 376 406 464 532 551 658 722 752 812 893 1064 1102 1316 1363 1444 1624 1786 2128 2204 2527 2632 2726 2888 3248 3572 3857 4408 5054 5264 5452 5776 6251 7144 7714 8816 9541 10108 10469 10904 12502 14288 15428 16967 19082 20216 20938 21808 25004 25897 30856 33934 38164 40432 41876 50008 51794 61712 67868 73283 76328 83752 100016 103588 118769 135736 146566 152656 167504 181279 207176 237538 271472 293132 362558 414352 475076 492043 586264 725116 950152 984086 1172528 1450232 1900304 1968172 2900464 3444301 3936344 6888602 7872688 13777204 27554408 55108816