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55259604 = 22331573259
BaseRepresentation
bin1101001011001…
…1000111010100
310211222110221000
43102303013110
5103121301404
65252223300
71240461501
oct322630724
9124873830
1055259604
11292133a4
121660ab30
13b5aa3ba
1474a64a8
154cb8339
hex34b31d4

55259604 has 48 divisors (see below), whose sum is σ = 144222400. Its totient is φ = 18296928.

The previous prime is 55259597. The next prime is 55259641. The reversal of 55259604 is 40695255.

55259604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15327 + ... + 18585.

Almost surely, 255259604 is an apocalyptic number.

55259604 is a gapful number since it is divisible by the number (54) 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 55259604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72111200).

55259604 is an abundant number, since it is smaller than the sum of its proper divisors (88962796).

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

55259604 is a wasteful number, since it uses less digits than its factorization.

55259604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429 (or 3421 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 55259604 is about 7433.6803805383. The cubic root of 55259604 is about 380.8926475400.

It can be divided in two parts, 5525 and 9604, that added together give a square (15129 = 1232).

The spelling of 55259604 in words is "fifty-five million, two hundred fifty-nine thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 157 314 471 628 942 1413 1884 2826 3259 4239 5652 6518 8478 9777 13036 16956 19554 29331 39108 58662 87993 117324 175986 351972 511663 1023326 1534989 2046652 3069978 4604967 6139956 9209934 13814901 18419868 27629802 55259604