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643025550 = 235219415503
BaseRepresentation
bin100110010100111…
…100101010001110
31122210222002020010
4212110330222032
52304103304200
6143450134050
721635425026
oct4624745216
91583862203
10643025550
112aaa75682
1215b421326
13a32b15bb
1461586a86
153b6bb150
hex2653ca8e

643025550 has 96 divisors (see below), whose sum is σ = 1719889920. Its totient is φ = 158457600.

The previous prime is 643025549. The next prime is 643025557. The reversal of 643025550 is 55520346.

643025550 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643025557) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114099 + ... + 119601.

It is an arithmetic number, because the mean of its divisors is an integer number (17915520).

Almost surely, 2643025550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643025550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859944960).

643025550 is an abundant number, since it is smaller than the sum of its proper divisors (1076864370).

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

643025550 is a wasteful number, since it uses less digits than its factorization.

643025550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5578 (or 5573 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 643025550 is about 25357.9484580279. The cubic root of 643025550 is about 863.1297312430.

Adding to 643025550 its reverse (55520346), we get a palindrome (698545896).

The spelling of 643025550 in words is "six hundred forty-three million, twenty-five thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 41 50 57 75 82 95 114 123 150 190 205 246 285 410 475 570 615 779 950 1025 1230 1425 1558 2050 2337 2850 3075 3895 4674 5503 6150 7790 11006 11685 16509 19475 23370 27515 33018 38950 55030 58425 82545 104557 116850 137575 165090 209114 225623 275150 313671 412725 451246 522785 627342 676869 825450 1045570 1128115 1353738 1568355 2256230 2613925 3136710 3384345 4286837 5227850 5640575 6768690 7841775 8573674 11281150 12860511 15683550 16921725 21434185 25721022 33843450 42868370 64302555 107170925 128605110 214341850 321512775 643025550