Search a number
-
+
1639602064 = 245321912
BaseRepresentation
bin110000110111010…
…0101011110010000
311020021012102012101
41201232211132100
511324214231224
6430410210144
755426246642
oct14156453620
94207172171
101639602064
11771570331
12399123954
132018c0449
14117a82892
1598e23044
hex61ba5790

1639602064 has 45 divisors (see below), whose sum is σ = 3254838769. Its totient is φ = 800121920.

The previous prime is 1639602061. The next prime is 1639602067. The reversal of 1639602064 is 4602069361.

It is a happy number.

The square root of 1639602064 is 40492.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1639602061) and next prime (1639602067).

It can be written as a sum of positive squares in only one way, i.e., 1181984400 + 457617664 = 34380^2 + 21392^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1639602061) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8584209 + ... + 8584399.

Almost surely, 21639602064 is an apocalyptic number.

1639602064 is the 40492-nd square number.

It is an amenable number.

1639602064 is a deficient number, since it is larger than the sum of its proper divisors (1615236705).

1639602064 is an frugal number, since it uses more digits than its factorization.

1639602064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The cubic root of 1639602064 is about 1179.1783190870.

Multiplying 1639602064 by its product of nonzero digits (46656), we get a square (76497273897984 = 87462722).

The spelling of 1639602064 in words is "one billion, six hundred thirty-nine million, six hundred two thousand, sixty-four".

Divisors: 1 2 4 8 16 53 106 191 212 382 424 764 848 1528 2809 3056 5618 10123 11236 20246 22472 36481 40492 44944 72962 80984 145924 161968 291848 536519 583696 1073038 1933493 2146076 3866986 4292152 7733972 8584304 15467944 30935888 102475129 204950258 409900516 819801032 1639602064