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878323940 = 2251315721517
BaseRepresentation
bin110100010110100…
…010100011100100
32021012201110221022
4310112202203210
53244322331230
6223053310312
730523426124
oct6426424344
92235643838
10878323940
1141087785a
12206195398
1310cc77410
1484916c84
15521991e5
hex345a28e4

878323940 has 48 divisors (see below), whose sum is σ = 1999108272. Its totient is φ = 322223616.

The previous prime is 878323939. The next prime is 878323967. The reversal of 878323940 is 49323878.

It can be written as a sum of positive squares in 8 ways, for example, as 164044864 + 714279076 = 12808^2 + 26726^2 .

It is a junction number, because it is equal to n+sod(n) for n = 878323891 and 878323900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30062 + ... + 51578.

It is an arithmetic number, because the mean of its divisors is an integer number (41648089).

Almost surely, 2878323940 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 878323940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999554136).

878323940 is an abundant number, since it is smaller than the sum of its proper divisors (1120784332).

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

878323940 is a wasteful number, since it uses less digits than its factorization.

878323940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21696 (or 21694 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 878323940 is about 29636.5304986937. The cubic root of 878323940 is about 957.6751978495.

It can be divided in two parts, 8783 and 23940, that added together give a palindrome (32723).

The spelling of 878323940 in words is "eight hundred seventy-eight million, three hundred twenty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 157 260 314 628 785 1570 2041 3140 4082 8164 10205 20410 21517 40820 43034 86068 107585 215170 279721 430340 559442 1118884 1398605 2797210 3378169 5594420 6756338 13512676 16890845 33781690 43916197 67563380 87832394 175664788 219580985 439161970 878323940