Search a number
-
+
5446006304 = 251712378093
BaseRepresentation
bin1010001001001101…
…10111011000100000
3112001112121210012012
411010212313120200
542123134200204
62300222452052
7251646201254
oct50446673040
915045553165
105446006304
112345146162
12107ba34028
1368a38a84b
14399400264
1521d1a676e
hex1449b7620

5446006304 has 48 divisors (see below), whose sum is σ = 11363101848. Its totient is φ = 2560438272.

The previous prime is 5446006289. The next prime is 5446006333. The reversal of 5446006304 is 4036006445.

It can be written as a sum of positive squares in 4 ways, for example, as 5336594704 + 109411600 = 73052^2 + 10460^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 668882 + ... + 676974.

Almost surely, 25446006304 is an apocalyptic number.

It is an amenable number.

5446006304 is an abundant number, since it is smaller than the sum of its proper divisors (5917095544).

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

5446006304 is a wasteful number, since it uses less digits than its factorization.

5446006304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9357 (or 9349 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 5446006304 is about 73797.0616217204. The cubic root of 5446006304 is about 1759.3789027438.

The spelling of 5446006304 in words is "five billion, four hundred forty-six million, six thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 1237 2474 4948 8093 9896 16186 19792 21029 32372 39584 42058 64744 84116 129488 137581 168232 258976 275162 336464 550324 672928 1100648 2201296 4402592 10011041 20022082 40044164 80088328 160176656 170187697 320353312 340375394 680750788 1361501576 2723003152 5446006304