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5428230656 = 2967229691
BaseRepresentation
bin1010000111000110…
…00011101000000000
3112000022011200120212
411003203003220000
542104111340111
62254345453252
7251342125232
oct50343035000
915008150525
105428230656
112336105042
121075aa1228
136867a5a04
14396cd4252
1521b84498b
hex1438c3a00

5428230656 has 80 divisors (see below), whose sum is σ = 11071806240. Its totient is φ = 2658078720.

The previous prime is 5428230601. The next prime is 5428230673. The reversal of 5428230656 is 6560328245.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7855271 + ... + 7855961.

It is an arithmetic number, because the mean of its divisors is an integer number (138397578).

Almost surely, 25428230656 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 5428230656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535903120).

5428230656 is an abundant number, since it is smaller than the sum of its proper divisors (5643575584).

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

5428230656 is an equidigital number, since it uses as much as digits as its factorization.

5428230656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The square root of 5428230656 is about 73676.5271711418. The cubic root of 5428230656 is about 1757.4626246396.

The spelling of 5428230656 in words is "five billion, four hundred twenty-eight million, two hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 67 128 134 229 256 268 458 512 536 691 916 1072 1382 1832 2144 2764 3664 4288 5528 7328 8576 11056 14656 15343 17152 22112 29312 30686 34304 44224 46297 58624 61372 88448 92594 117248 122744 158239 176896 185188 245488 316478 353792 370376 490976 632956 740752 981952 1265912 1481504 1963904 2531824 2963008 3927808 5063648 5926016 7855616 10127296 10602013 11852032 20254592 21204026 23704064 40509184 42408052 81018368 84816104 169632208 339264416 678528832 1357057664 2714115328 5428230656