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55061400 = 23352163563
BaseRepresentation
bin1101001000001…
…0101110011000
310211121102001010
43102002232120
5103043431100
65244053520
71236004602
oct322025630
9124542033
1055061400
1129098499
12165342a0
13b53b114
147454172
154c79750
hex3482b98

55061400 has 96 divisors (see below), whose sum is σ = 172042560. Its totient is φ = 14567040.

The previous prime is 55061389. The next prime is 55061437. The reversal of 55061400 is 416055.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 97519 + ... + 98081.

It is an arithmetic number, because the mean of its divisors is an integer number (1792110).

Almost surely, 255061400 is an apocalyptic number.

55061400 is a gapful number since it is divisible by the number (50) 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 55061400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86021280).

55061400 is an abundant number, since it is smaller than the sum of its proper divisors (116981160).

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

55061400 is a wasteful number, since it uses less digits than its factorization.

55061400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 55061400 is about 7420.3369195745. The cubic root of 55061400 is about 380.4367093756.

Adding to 55061400 its reverse (416055), we get a palindrome (55477455).

The spelling of 55061400 in words is "fifty-five million, sixty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 163 200 300 326 489 563 600 652 815 978 1126 1304 1630 1689 1956 2252 2445 2815 3260 3378 3912 4075 4504 4890 5630 6520 6756 8150 8445 9780 11260 12225 13512 14075 16300 16890 19560 22520 24450 28150 32600 33780 42225 48900 56300 67560 84450 91769 97800 112600 168900 183538 275307 337800 367076 458845 550614 734152 917690 1101228 1376535 1835380 2202456 2294225 2753070 3670760 4588450 5506140 6882675 9176900 11012280 13765350 18353800 27530700 55061400