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55418528 = 2511313503
BaseRepresentation
bin1101001101100…
…1111010100000
310212021112221002
43103121322200
5103141343103
65255451132
71242023024
oct323317240
9125245832
1055418528
1129311840
1216686aa8
13b634839
147508384
154cea488
hex34d9ea0

55418528 has 48 divisors (see below), whose sum is σ = 119641536. Its totient is φ = 25059840.

The previous prime is 55418527. The next prime is 55418537. The reversal of 55418528 is 82581455.

55418528 = T67 + T68 + ... + T692.

55418528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 55418491 and 55418500.

It is not an unprimeable number, because it can be changed into a prime (55418527) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 109925 + ... + 110427.

It is an arithmetic number, because the mean of its divisors is an integer number (2492532).

Almost surely, 255418528 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 55418528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59820768).

55418528 is an abundant number, since it is smaller than the sum of its proper divisors (64223008).

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

55418528 is a wasteful number, since it uses less digits than its factorization.

55418528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 829 counting only the distinct ones).

The product of its digits is 64000, while the sum is 38.

The square root of 55418528 is about 7444.3621620660. The cubic root of 55418528 is about 381.2574411161.

The spelling of 55418528 in words is "fifty-five million, four hundred eighteen thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 313 352 503 626 1006 1252 2012 2504 3443 4024 5008 5533 6886 8048 10016 11066 13772 16096 22132 27544 44264 55088 88528 110176 157439 177056 314878 629756 1259512 1731829 2519024 3463658 5038048 6927316 13854632 27709264 55418528