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2428141878 = 2322319330389
BaseRepresentation
bin1001000010111010…
…1000000100110110
320021012222101110200
42100232220010312
514433101020003
61040535301330
7114112602561
oct22056500466
96235871420
102428141878
111036693a28
1257921a846
132c908cc56
141906a74d8
15e32846a3
hex90ba8136

2428141878 has 48 divisors (see below), whose sum is σ = 5518337760. Its totient is φ = 770153472.

The previous prime is 2428141847. The next prime is 2428141889. The reversal of 2428141878 is 8781418242.

2428141878 is a `hidden beast` number, since 2 + 428 + 141 + 87 + 8 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 64708 + ... + 95096.

It is an arithmetic number, because the mean of its divisors is an integer number (114965370).

Almost surely, 22428141878 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2428141878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759168880).

2428141878 is an abundant number, since it is smaller than the sum of its proper divisors (3090195882).

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

2428141878 is a wasteful number, since it uses less digits than its factorization.

2428141878 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30613 (or 30610 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The square root of 2428141878 is about 49276.1796205834. The cubic root of 2428141878 is about 1344.0786618235.

The spelling of 2428141878 in words is "two billion, four hundred twenty-eight million, one hundred forty-one thousand, eight hundred seventy-eight".

Divisors: 1 2 3 6 9 18 23 46 69 138 193 207 386 414 579 1158 1737 3474 4439 8878 13317 26634 30389 39951 60778 79902 91167 182334 273501 547002 698947 1397894 2096841 4193682 5865077 6290523 11730154 12581046 17595231 35190462 52785693 105571386 134896771 269793542 404690313 809380626 1214070939 2428141878