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55050000 = 24355367
BaseRepresentation
bin1101000111111…
…1111100010000
310211120211101220
43101333330100
5103043100000
65243525040
71235626425
oct321777420
9124524356
1055050000
112908a975
1216529780
13b535b85
14744dd4c
154c761a0
hex347ff10

55050000 has 120 divisors (see below), whose sum is σ = 178238592. Its totient is φ = 14640000.

The previous prime is 55049983. The next prime is 55050001. The reversal of 55050000 is 5055.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (55050001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149817 + ... + 150183.

Almost surely, 255050000 is an apocalyptic number.

55050000 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 55050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89119296).

55050000 is an abundant number, since it is smaller than the sum of its proper divisors (123188592).

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

55050000 is an equidigital number, since it uses as much as digits as its factorization.

55050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 15.

The square root of 55050000 is about 7419.5687206198. The cubic root of 55050000 is about 380.4104521559.

Adding to 55050000 its reverse (5055), we get a palindrome (55055055).

The spelling of 55050000 in words is "fifty-five million, fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 367 375 400 500 600 625 734 750 1000 1101 1200 1250 1468 1500 1835 1875 2000 2202 2500 2936 3000 3125 3670 3750 4404 5000 5505 5872 6000 6250 7340 7500 8808 9175 9375 10000 11010 12500 14680 15000 17616 18350 18750 22020 25000 27525 29360 30000 36700 37500 44040 45875 50000 55050 73400 75000 88080 91750 110100 137625 146800 150000 183500 220200 229375 275250 367000 440400 458750 550500 688125 734000 917500 1101000 1146875 1376250 1835000 2202000 2293750 2752500 3440625 3670000 4587500 5505000 6881250 9175000 11010000 13762500 18350000 27525000 55050000