Search a number
-
+
84689550 = 23452111901
BaseRepresentation
bin1010000110001…
…00001010001110
312220100200020000
411003010022032
5133140031200
612223105130
72045564211
oct503041216
9186320200
1084689550
1143894570
12244421a6
1314712a7a
14b367778
15767d300
hex50c428e

84689550 has 120 divisors (see below), whose sum is σ = 256838472. Its totient is φ = 20520000.

The previous prime is 84689531. The next prime is 84689567. The reversal of 84689550 is 5598648.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 84689496 and 84689505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 43600 + ... + 45500.

Almost surely, 284689550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84689550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128419236).

84689550 is an abundant number, since it is smaller than the sum of its proper divisors (172148922).

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

84689550 is a wasteful number, since it uses less digits than its factorization.

84689550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 84689550 is about 9202.6925407731. The cubic root of 84689550 is about 439.1470217384.

The spelling of 84689550 in words is "eighty-four million, six hundred eighty-nine thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 27 30 33 45 50 54 55 66 75 81 90 99 110 135 150 162 165 198 225 270 275 297 330 405 450 495 550 594 675 810 825 891 990 1350 1485 1650 1782 1901 2025 2475 2970 3802 4050 4455 4950 5703 7425 8910 9505 11406 14850 17109 19010 20911 22275 28515 34218 41822 44550 47525 51327 57030 62733 85545 95050 102654 104555 125466 142575 153981 171090 188199 209110 256635 285150 307962 313665 376398 427725 513270 522775 564597 627330 769905 855450 940995 1045550 1129194 1283175 1539810 1568325 1693791 1881990 2566350 2822985 3136650 3387582 3849525 4704975 5645970 7699050 8468955 9409950 14114925 16937910 28229850 42344775 84689550