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464412096 = 2633268757
BaseRepresentation
bin11011101011100…
…101110111000000
31012100212120122000
4123223211313000
51422342141341
6114025544000
714336303061
oct3353456700
91170776560
10464412096
1121916a755
1210b645000
13752a4875
1445970568
152ab888b6
hex1bae5dc0

464412096 has 56 divisors (see below), whose sum is σ = 1365290640. Its totient is φ = 154803456.

The previous prime is 464412077. The next prime is 464412097. The reversal of 464412096 is 690214464.

464412096 is a `hidden beast` number, since 4 + 6 + 441 + 209 + 6 = 666.

It is a super-2 number, since 2×4644120962 = 431357189822226432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 464412096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464412097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132651 + ... + 136106.

It is an arithmetic number, because the mean of its divisors is an integer number (24380190).

Almost surely, 2464412096 is an apocalyptic number.

It is an amenable number.

464412096 is an abundant number, since it is smaller than the sum of its proper divisors (900878544).

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

464412096 is a wasteful number, since it uses less digits than its factorization.

464412096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268778 (or 268762 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 464412096 is about 21550.2226438615. Note that the first 3 decimals coincide. The cubic root of 464412096 is about 774.4044517992.

The spelling of 464412096 in words is "four hundred sixty-four million, four hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 268757 537514 806271 1075028 1612542 2150056 2418813 3225084 4300112 4837626 6450168 7256439 8600224 9675252 12900336 14512878 17200448 19350504 25800672 29025756 38701008 51601344 58051512 77402016 116103024 154804032 232206048 464412096