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55590440 = 23531127353
BaseRepresentation
bin1101010000001…
…1111000101000
310212121021202012
43110003320220
5103212343230
65303255052
71243340153
oct324037050
9125537665
1055590440
1129419a14
121674a488
13b694b69
147550c9a
154d31395
hex3503e28

55590440 has 64 divisors (see below), whose sum is σ = 130498560. Its totient is φ = 21288960.

The previous prime is 55590433. The next prime is 55590461. The reversal of 55590440 is 4409555.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 55590397 and 55590406.

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 15 ways as a sum of consecutive naturals, for example, 157304 + ... + 157656.

It is an arithmetic number, because the mean of its divisors is an integer number (2039040).

Almost surely, 255590440 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 55590440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65249280).

55590440 is an abundant number, since it is smaller than the sum of its proper divisors (74908120).

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

55590440 is a wasteful number, since it uses less digits than its factorization.

55590440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 55590440 is about 7455.8996774367. The cubic root of 55590440 is about 381.6512629147.

Adding to 55590440 its reverse (4409555), we get a palindrome (59999995).

The spelling of 55590440 in words is "fifty-five million, five hundred ninety thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 127 155 248 254 310 353 508 620 635 706 1016 1240 1270 1412 1765 2540 2824 3530 3937 5080 7060 7874 10943 14120 15748 19685 21886 31496 39370 43772 44831 54715 78740 87544 89662 109430 157480 179324 218860 224155 358648 437720 448310 896620 1389761 1793240 2779522 5559044 6948805 11118088 13897610 27795220 55590440