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89650080 = 25325134789
BaseRepresentation
bin1010101011111…
…11001110100000
320020200200210100
411111333032200
5140422300310
612521302400
72136004332
oct525771640
9206620710
1089650080
1146672483
1226034a00
131575b8b0
14bc99452
157d0cec0
hex557f3a0

89650080 has 144 divisors (see below), whose sum is σ = 329532840. Its totient is φ = 22063104.

The previous prime is 89650079. The next prime is 89650091. The reversal of 89650080 is 8005698.

It can be written as a sum of positive squares in 4 ways, for example, as 33039504 + 56610576 = 5748^2 + 7524^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16326 + ... + 21114.

Almost surely, 289650080 is an apocalyptic number.

89650080 is a gapful number since it is divisible by the number (80) 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 89650080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164766420).

89650080 is an abundant number, since it is smaller than the sum of its proper divisors (239882760).

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

89650080 is a wasteful number, since it uses less digits than its factorization.

89650080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4823 (or 4812 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 89650080 is about 9468.3726162419. The cubic root of 89650080 is about 447.5589302666.

The spelling of 89650080 in words is "eighty-nine million, six hundred fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 4789 6240 9360 9578 14367 18720 19156 23945 28734 38312 43101 47890 57468 62257 71835 76624 86202 95780 114936 124514 143670 153248 172404 186771 191560 215505 229872 249028 287340 311285 344808 373542 383120 431010 459744 498056 560313 574680 622570 689616 747084 766240 862020 933855 996112 1120626 1149360 1245140 1379232 1494168 1724040 1867710 1992224 2241252 2298720 2490280 2801565 2988336 3448080 3735420 4482504 4980560 5603130 5976672 6896160 7470840 8965008 9961120 11206260 14941680 17930016 22412520 29883360 44825040 89650080