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55584500 = 2253195851
BaseRepresentation
bin1101010000001…
…0011011110100
310212120222121012
43110002123310
5103212201000
65303211352
71243313636
oct324023364
9125528535
1055584500
1129415504
1216746b58
13b69224a
14754ca56
154d2e735
hex35026f4

55584500 has 48 divisors (see below), whose sum is σ = 127807680. Its totient is φ = 21060000.

The previous prime is 55584497. The next prime is 55584511. The reversal of 55584500 is 548555.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6575 + ... + 12425.

It is an arithmetic number, because the mean of its divisors is an integer number (2662660).

Almost surely, 255584500 is an apocalyptic number.

55584500 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 55584500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63903840).

55584500 is an abundant number, since it is smaller than the sum of its proper divisors (72223180).

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

55584500 is a wasteful number, since it uses less digits than its factorization.

55584500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5889 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 32.

The square root of 55584500 is about 7455.5013245254. The cubic root of 55584500 is about 381.6376689151.

The spelling of 55584500 in words is "fifty-five million, five hundred eighty-four thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 125 190 250 380 475 500 950 1900 2375 4750 5851 9500 11702 23404 29255 58510 111169 117020 146275 222338 292550 444676 555845 585100 731375 1111690 1462750 2223380 2779225 2925500 5558450 11116900 13896125 27792250 55584500