Search a number
-
+
466223648 = 251123472
BaseRepresentation
bin11011110010100…
…000001000100000
31012111021121121112
4123302200020200
51423323124043
6114132442452
714360556422
oct3362401040
91174247545
10466223648
1121a197800
12110179428
137578a2a7
1445cc2812
152ade5518
hex1bca0220

466223648 has 54 divisors (see below), whose sum is σ = 1011822903. Its totient is φ = 211309120.

The previous prime is 466223617. The next prime is 466223687. The reversal of 466223648 is 846322664.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 233111824 + 233111824 = 15268^2 + 15268^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=15268.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1343411 + ... + 1343757.

Almost surely, 2466223648 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 466223648

466223648 is an abundant number, since it is smaller than the sum of its proper divisors (545599255).

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

466223648 is an equidigital number, since it uses as much as digits as its factorization.

466223648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 360 counting only the distinct ones).

The product of its digits is 331776, while the sum is 41.

The square root of 466223648 is about 21592.2126703124. The cubic root of 466223648 is about 775.4100628394.

The spelling of 466223648 in words is "four hundred sixty-six million, two hundred twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 347 352 484 694 968 1388 1936 2776 3817 3872 5552 7634 11104 15268 30536 41987 61072 83974 120409 122144 167948 240818 335896 481636 671792 963272 1324499 1343584 1926544 2648998 3853088 5297996 10595992 14569489 21191984 29138978 42383968 58277956 116555912 233111824 466223648