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55120576 = 267612017
BaseRepresentation
bin1101001001000…
…1001011000000
310211201102012211
43102101023000
5103102324301
65245231504
71236342250
oct322211300
9124642184
1055120576
11291289a5
1216562594
13b55c034
14746b960
154c8c051
hex34912c0

55120576 has 56 divisors (see below), whose sum is σ = 127117856. Its totient is φ = 23224320.

The previous prime is 55120547. The next prime is 55120601. The reversal of 55120576 is 67502155.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26320 + ... + 28336.

Almost surely, 255120576 is an apocalyptic number.

55120576 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 55120576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63558928).

55120576 is an abundant number, since it is smaller than the sum of its proper divisors (71997280).

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

55120576 is a wasteful number, since it uses less digits than its factorization.

55120576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 31.

The square root of 55120576 is about 7424.3232688239. The cubic root of 55120576 is about 380.5729491765.

It can be divided in two parts, 55120 and 576, that added together give a square (55696 = 2362).

The spelling of 55120576 in words is "fifty-five million, one hundred twenty thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 224 244 427 448 488 854 976 1708 1952 2017 3416 3904 4034 6832 8068 13664 14119 16136 27328 28238 32272 56476 64544 112952 123037 129088 225904 246074 451808 492148 861259 903616 984296 1722518 1968592 3445036 3937184 6890072 7874368 13780144 27560288 55120576