Search a number
-
+
515468064 = 2538960331
BaseRepresentation
bin11110101110010…
…110101100100000
31022220221111020210
4132232112230200
52023424434224
6123052134120
715526256226
oct3656265440
91286844223
10515468064
11244a71871
12124767340
1382a3c7b7
144c660b16
15303c1429
hex1eb96b20

515468064 has 48 divisors (see below), whose sum is σ = 1368329760. Its totient is φ = 169889280.

The previous prime is 515468059. The next prime is 515468071. The reversal of 515468064 is 460864515.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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, 21622 + ... + 38709.

It is an arithmetic number, because the mean of its divisors is an integer number (28506870).

Almost surely, 2515468064 is an apocalyptic number.

It is an amenable number.

515468064 is an abundant number, since it is smaller than the sum of its proper divisors (852861696).

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

515468064 is a wasteful number, since it uses less digits than its factorization.

515468064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60433 (or 60425 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 515468064 is about 22703.9217757638. The cubic root of 515468064 is about 801.8022202871.

The spelling of 515468064 in words is "five hundred fifteen million, four hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2848 4272 8544 60331 120662 180993 241324 361986 482648 723972 965296 1447944 1930592 2895888 5369459 5791776 10738918 16108377 21477836 32216754 42955672 64433508 85911344 128867016 171822688 257734032 515468064