Search a number
-
+
1054437664 = 2572672473
BaseRepresentation
bin111110110110010…
…111000100100000
32201111002222112211
4332312113010200
54124414001124
6252344131504
735062400200
oct7666270440
92644088484
101054437664
114a1225695
12255166b94
1313a5ba417
14a007c400
1562885e94
hex3ed97120

1054437664 has 36 divisors (see below), whose sum is σ = 2414854134. Its totient is φ = 451901184.

The previous prime is 1054437653. The next prime is 1054437731. The reversal of 1054437664 is 4667344501.

1054437664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 807696400 + 246741264 = 28420^2 + 15708^2 .

It is a super-2 number, since 2×10544376642 = 2223677574523553792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 334669 + ... + 337804.

Almost surely, 21054437664 is an apocalyptic number.

1054437664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1054437664 is an abundant number, since it is smaller than the sum of its proper divisors (1360416470).

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

1054437664 is an equidigital number, since it uses as much as digits as its factorization.

1054437664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672497 (or 672482 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 1054437664 is about 32472.1059372502. The cubic root of 1054437664 is about 1017.8262254474.

The spelling of 1054437664 in words is "one billion, fifty-four million, four hundred thirty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 672473 1344946 2689892 4707311 5379784 9414622 10759568 18829244 21519136 32951177 37658488 65902354 75316976 131804708 150633952 263609416 527218832 1054437664