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89863380 = 2232537103131
BaseRepresentation
bin1010101101100…
…11010011010100
320021002112101100
411112303103110
5141001112010
612530030100
72140553235
oct526632324
9207075340
1089863380
11467a8762
1226118330
13158049c9
14bd1308c
157d512c0
hex55b34d4

89863380 has 144 divisors (see below), whose sum is σ = 284828544. Its totient is φ = 22913280.

The previous prime is 89863339. The next prime is 89863381. The reversal of 89863380 is 8336898.

89863380 is a `hidden beast` number, since 8 + 9 + 8 + 633 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89863381) 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, 685915 + ... + 686045.

It is an arithmetic number, because the mean of its divisors is an integer number (1977976).

Almost surely, 289863380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89863380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142414272).

89863380 is an abundant number, since it is smaller than the sum of its proper divisors (194965164).

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

89863380 is a wasteful number, since it uses less digits than its factorization.

89863380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 89863380 is about 9479.6297396048. The cubic root of 89863380 is about 447.9136007386.

The spelling of 89863380 in words is "eighty-nine million, eight hundred sixty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 103 111 131 148 180 185 206 222 262 309 333 370 393 412 444 515 524 555 618 655 666 740 786 927 1030 1110 1179 1236 1310 1332 1545 1572 1665 1854 1965 2060 2220 2358 2620 3090 3330 3708 3811 3930 4635 4716 4847 5895 6180 6660 7622 7860 9270 9694 11433 11790 13493 14541 15244 18540 19055 19388 22866 23580 24235 26986 29082 34299 38110 40479 43623 45732 48470 53972 57165 58164 67465 68598 72705 76220 80958 87246 96940 114330 121437 134930 137196 145410 161916 171495 174492 202395 218115 228660 242874 269860 290820 342990 404790 436230 485748 499241 607185 685980 809580 872460 998482 1214370 1497723 1996964 2428740 2496205 2995446 4493169 4992410 5990892 7488615 8986338 9984820 14977230 17972676 22465845 29954460 44931690 89863380