Search a number
-
+
2089981152 = 253271954563
BaseRepresentation
bin111110010010010…
…1001010011100000
312101122200001011100
41330210221103200
513240013344102
6543215314400
7102535355340
oct17444512340
95348601140
102089981152
11982815856
124a3b1ba00
13273cc084c
1415b7dcd20
15c3738a1c
hex7c9294e0

2089981152 has 144 divisors (see below), whose sum is σ = 7150066560. Its totient is φ = 565698816.

The previous prime is 2089981147. The next prime is 2089981177. The reversal of 2089981152 is 2511899802.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2089981098 and 2089981107.

It is a congruent number.

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, 11023 + ... + 65585.

It is an arithmetic number, because the mean of its divisors is an integer number (49653240).

Almost surely, 22089981152 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 2089981152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575033280).

2089981152 is an abundant number, since it is smaller than the sum of its proper divisors (5060085408).

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

2089981152 is a wasteful number, since it uses less digits than its factorization.

2089981152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54605 (or 54594 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 2089981152 is about 45716.3116622503. The cubic root of 2089981152 is about 1278.5394212404.

The spelling of 2089981152 in words is "two billion, eighty-nine million, nine hundred eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3192 4256 4788 5472 6384 9576 12768 19152 38304 54563 109126 163689 218252 327378 381941 436504 491067 654756 763882 873008 982134 1036697 1145823 1309512 1527764 1746016 1964268 2073394 2291646 2619024 3055528 3110091 3437469 3928536 4146788 4583292 5238048 6111056 6220182 6874938 7256879 7857072 8293576 9166584 9330273 12222112 12440364 13749876 14513758 15714144 16587152 18333168 18660546 21770637 24880728 27499752 29027516 33174304 36666336 37321092 43541274 49761456 54999504 58055032 65311911 74642184 87082548 99522912 109999008 116110064 130623822 149284368 174165096 232220128 261247644 298568736 348330192 522495288 696660384 1044990576 2089981152