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464052096 = 2732402823
BaseRepresentation
bin11011101010001…
…101111110000000
31012100012021210200
4123222031332000
51422244131341
6114014125200
714333243364
oct3352157600
91170167720
10464052096
11218a44232
1210b4b0800
13751a9a51
14458b92a4
152ab16db6
hex1ba8df80

464052096 has 48 divisors (see below), whose sum is σ = 1335361560. Its totient is φ = 154683648.

The previous prime is 464052079. The next prime is 464052101. The reversal of 464052096 is 690250464.

464052096 is a `hidden beast` number, since 4 + 6 + 40 + 520 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 464052096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 200260 + ... + 202563.

Almost surely, 2464052096 is an apocalyptic number.

It is an amenable number.

464052096 is an abundant number, since it is smaller than the sum of its proper divisors (871309464).

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

464052096 is a wasteful number, since it uses less digits than its factorization.

464052096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402843 (or 402828 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 464052096 is about 21541.8684426398. The cubic root of 464052096 is about 774.2043007754.

The spelling of 464052096 in words is "four hundred sixty-four million, fifty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 402823 805646 1208469 1611292 2416938 3222584 3625407 4833876 6445168 7250814 9667752 12890336 14501628 19335504 25780672 29003256 38671008 51561344 58006512 77342016 116013024 154684032 232026048 464052096