Search a number
-
+
1439072964 = 22327416649
BaseRepresentation
bin101010111000110…
…1000001011000100
310201021212110222200
41111301220023010
510421400313324
6354444154500
750442630000
oct12561501304
93637773880
101439072964
116793568aa
12341b38a30
1319c1ac384
14d91a3700
1586511ec9
hex55c682c4

1439072964 has 90 divisors (see below), whose sum is σ = 4243935150. Its totient is φ = 411139008.

The previous prime is 1439072963. The next prime is 1439072969. The reversal of 1439072964 is 4692709341.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1350562500 + 88510464 = 36750^2 + 9408^2 .

It is not an unprimeable number, because it can be changed into a prime (1439072963) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 78112 + ... + 94760.

It is an arithmetic number, because the mean of its divisors is an integer number (47154835).

Almost surely, 21439072964 is an apocalyptic number.

1439072964 is a gapful number since it is divisible by the number (14) 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 1439072964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121967575).

1439072964 is an abundant number, since it is smaller than the sum of its proper divisors (2804862186).

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

1439072964 is a wasteful number, since it uses less digits than its factorization.

1439072964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16687 (or 16661 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1439072964 is about 37935.1151836923. The cubic root of 1439072964 is about 1129.0008564497. Note that the first 3 decimals are identical.

The spelling of 1439072964 in words is "one billion, four hundred thirty-nine million, seventy-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 2401 3087 4116 4802 6174 7203 9604 12348 14406 16649 21609 28812 33298 43218 49947 66596 86436 99894 116543 149841 199788 233086 299682 349629 466172 599364 699258 815801 1048887 1398516 1631602 2097774 2447403 3263204 4195548 4894806 5710607 7342209 9789612 11421214 14684418 17131821 22842428 29368836 34263642 39974249 51395463 68527284 79948498 102790926 119922747 159896996 205581852 239845494 359768241 479690988 719536482 1439072964