Search a number
-
+
467672464 = 2472837187
BaseRepresentation
bin11011111000000…
…001110110010000
31012121000020000101
4123320001312100
51424211004324
6114223502144
714406102400
oct3370016620
91177006011
10467672464
1121aa97276
12110757954
1375b7688c
144617c800
152b0ce944
hex1be01d90

467672464 has 60 divisors (see below), whose sum is σ = 1066900464. Its totient is φ = 197988672.

The previous prime is 467672453. The next prime is 467672467. The reversal of 467672464 is 464276764.

It is not an unprimeable number, because it can be changed into a prime (467672467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61479 + ... + 68665.

Almost surely, 2467672464 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 467672464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533450232).

467672464 is an abundant number, since it is smaller than the sum of its proper divisors (599228000).

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

467672464 is a wasteful number, since it uses less digits than its factorization.

467672464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7292 (or 7279 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 46.

The square root of 467672464 is about 21625.7361493199. The cubic root of 467672464 is about 776.2124422781.

The spelling of 467672464 in words is "four hundred sixty-seven million, six hundred seventy-two thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 83 98 112 166 196 332 392 581 664 784 1162 1328 2324 4067 4648 7187 8134 9296 14374 16268 28748 32536 50309 57496 65072 100618 114992 201236 352163 402472 596521 704326 804944 1193042 1408652 2386084 2817304 4175647 4772168 5634608 8351294 9544336 16702588 29229529 33405176 58459058 66810352 116918116 233836232 467672464