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55002000 = 2435389103
BaseRepresentation
bin1101000111010…
…0001110010000
310211111101120010
43101310032100
5103040031000
65242514520
71235336454
oct321641620
9124441503
1055002000
11290578a9
1216505a40
13b51a081
14743a664
154c66d50
hex3474390

55002000 has 160 divisors (see below), whose sum is σ = 181059840. Its totient is φ = 14361600.

The previous prime is 55001981. The next prime is 55002011. The reversal of 55002000 is 20055.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 533949 + ... + 534051.

It is an arithmetic number, because the mean of its divisors is an integer number (1131624).

Almost surely, 255002000 is an apocalyptic number.

55002000 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 55002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90529920).

55002000 is an abundant number, since it is smaller than the sum of its proper divisors (126057840).

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

55002000 is a wasteful number, since it uses less digits than its factorization.

55002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 12.

The square root of 55002000 is about 7416.3333258424. Note that the first 4 decimals coincide. The cubic root of 55002000 is about 380.2998556596.

Adding to 55002000 its reverse (20055), we get a palindrome (55022055).

It can be divided in two parts, 5 and 5002000, that added together give a palindrome (5002005).

The spelling of 55002000 in words is "fifty-five million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 89 100 103 120 125 150 178 200 206 240 250 267 300 309 356 375 400 412 445 500 515 534 600 618 712 750 824 890 1000 1030 1068 1200 1236 1335 1424 1500 1545 1648 1780 2000 2060 2136 2225 2472 2575 2670 3000 3090 3560 4120 4272 4450 4944 5150 5340 6000 6180 6675 7120 7725 8240 8900 9167 10300 10680 11125 12360 12875 13350 15450 17800 18334 20600 21360 22250 24720 25750 26700 27501 30900 33375 35600 36668 38625 41200 44500 45835 51500 53400 55002 61800 66750 73336 77250 89000 91670 103000 106800 110004 123600 133500 137505 146672 154500 178000 183340 206000 220008 229175 267000 275010 309000 366680 440016 458350 534000 550020 618000 687525 733360 916700 1100040 1145875 1375050 1833400 2200080 2291750 2750100 3437625 3666800 4583500 5500200 6875250 9167000 11000400 13750500 18334000 27501000 55002000