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1438584064 = 2817330557
BaseRepresentation
bin101010110111111…
…0000110100000000
310201020221122100021
41111233300310000
510421234142224
6354425503224
750435522431
oct12557606400
93636848307
101438584064
11679052555
12341941b14
1319c06a998
14d90b7488
15864671e4
hex55bf0d00

1438584064 has 36 divisors (see below), whose sum is σ = 3040472484. Its totient is φ = 676978688.

The previous prime is 1438584061. The next prime is 1438584083. The reversal of 1438584064 is 4604858341.

It can be written as a sum of positive squares in 2 ways, for example, as 1197713664 + 240870400 = 34608^2 + 15520^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1438584064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1438584061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 160927 + ... + 169630.

It is an arithmetic number, because the mean of its divisors is an integer number (84457569).

Almost surely, 21438584064 is an apocalyptic number.

It is an amenable number.

1438584064 is an abundant number, since it is smaller than the sum of its proper divisors (1601888420).

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

1438584064 is an equidigital number, since it uses as much as digits as its factorization.

1438584064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330590 (or 330576 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The square root of 1438584064 is about 37928.6707386378. The cubic root of 1438584064 is about 1128.8729891694.

The spelling of 1438584064 in words is "one billion, four hundred thirty-eight million, five hundred eighty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 4352 330557 661114 1322228 2644456 5288912 5619469 10577824 11238938 21155648 22477876 42311296 44955752 84622592 89911504 179823008 359646016 719292032 1438584064