Search a number
-
+
465015480 = 23355636883
BaseRepresentation
bin11011101101111…
…001001010111000
31012102000020022120
4123231321022320
51423020443410
6114050521240
714344365156
oct3355711270
91172006276
10465015480
11219542016
1210b896220
13754563b7
1445a8a3d6
152ac57570
hex1bb792b8

465015480 has 64 divisors (see below), whose sum is σ = 1397727360. Its totient is φ = 123765888.

The previous prime is 465015479. The next prime is 465015491. The reversal of 465015480 is 84510564.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64119 + ... + 71001.

It is an arithmetic number, because the mean of its divisors is an integer number (21839490).

Almost surely, 2465015480 is an apocalyptic number.

465015480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465015480 is an abundant number, since it is smaller than the sum of its proper divisors (932711880).

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

465015480 is a wasteful number, since it uses less digits than its factorization.

465015480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7460 (or 7456 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 465015480 is about 21564.2175837659. The cubic root of 465015480 is about 774.7396864201.

The spelling of 465015480 in words is "four hundred sixty-five million, fifteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 563 1126 1689 2252 2815 3378 4504 5630 6756 6883 8445 11260 13512 13766 16890 20649 22520 27532 33780 34415 41298 55064 67560 68830 82596 103245 137660 165192 206490 275320 412980 825960 3875129 7750258 11625387 15500516 19375645 23250774 31001032 38751290 46501548 58126935 77502580 93003096 116253870 155005160 232507740 465015480