Search a number
-
+
466564472 = 2311109127383
BaseRepresentation
bin11011110011110…
…011010101111000
31012111220221010122
4123303303111320
51423420030342
6114144032412
714363506163
oct3363632570
91174827118
10466564472
1121a3aa880
12110302708
137587946a
1445d70ada
152ae614d2
hex1bcf3578

466564472 has 64 divisors (see below), whose sum is σ = 973209600. Its totient is φ = 207930240.

The previous prime is 466564463. The next prime is 466564493. The reversal of 466564472 is 274465664.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1217993 + ... + 1218375.

It is an arithmetic number, because the mean of its divisors is an integer number (15206400).

Almost surely, 2466564472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466564472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486604800).

466564472 is an abundant number, since it is smaller than the sum of its proper divisors (506645128).

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

466564472 is a wasteful number, since it uses less digits than its factorization.

466564472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 632 counting only the distinct ones).

The product of its digits is 967680, while the sum is 44.

The square root of 466564472 is about 21600.1035182705. The cubic root of 466564472 is about 775.5989664468.

The spelling of 466564472 in words is "four hundred sixty-six million, five hundred sixty-four thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 22 44 88 109 127 218 254 383 436 508 766 872 1016 1199 1397 1532 2398 2794 3064 4213 4796 5588 8426 9592 11176 13843 16852 27686 33704 41747 48641 55372 83494 97282 110744 152273 166988 194564 304546 333976 389128 459217 535051 609092 918434 1070102 1218184 1836868 2140204 3673736 4280408 5301869 10603738 21207476 42414952 58320559 116641118 233282236 466564472