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881214048 = 2532111321397
BaseRepresentation
bin110100100001100…
…100001001100000
32021102011022102100
4310201210021200
53301042322143
6223235250400
730560124111
oct6441441140
92242138370
10881214048
11412471180
12207149a00
13110749a40
148506a208
155256a6d3
hex34864260

881214048 has 144 divisors (see below), whose sum is σ = 2944193616. Its totient is φ = 246481920.

The previous prime is 881214043. The next prime is 881214049. The reversal of 881214048 is 840412188.

It is a happy number.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (881214041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30486 + ... + 51882.

It is an arithmetic number, because the mean of its divisors is an integer number (20445789).

Almost surely, 2881214048 is an apocalyptic number.

881214048 is a gapful number since it is divisible by the number (88) 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 881214048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472096808).

881214048 is an abundant number, since it is smaller than the sum of its proper divisors (2062979568).

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

881214048 is a wasteful number, since it uses less digits than its factorization.

881214048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21437 (or 21426 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 881214048 is about 29685.2496705013. The cubic root of 881214048 is about 958.7244517680.

It can be divided in two parts, 8812140 and 48, that added together give a palindrome (8812188).

The spelling of 881214048 in words is "eight hundred eighty-one million, two hundred fourteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 3168 3432 3744 4576 5148 6864 10296 13728 20592 21397 41184 42794 64191 85588 128382 171176 192573 235367 256764 278161 342352 385146 470734 513528 556322 684704 706101 770292 834483 941468 1027056 1112644 1412202 1540584 1668966 1882936 2054112 2118303 2225288 2503449 2824404 3059771 3081168 3337932 3765872 4236606 4450576 5006898 5648808 6119542 6162336 6675864 7531744 8473212 8901152 9179313 10013796 11297616 12239084 13351728 16946424 18358626 20027592 22595232 24478168 26703456 27537939 33892848 36717252 40055184 48956336 55075878 67785696 73434504 80110368 97912672 110151756 146869008 220303512 293738016 440607024 881214048