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464055552 = 2832201413
BaseRepresentation
bin11011101010001…
…110110100000000
31012100012110112200
4123222032310000
51422244234202
6114014153200
714333256432
oct3352166400
91170173480
10464055552
11218a46894
1210b4b2800
13751ab4ac
14458ba652
152ab17e1c
hex1ba8ed00

464055552 has 54 divisors (see below), whose sum is σ = 1337993202. Its totient is φ = 154684416.

The previous prime is 464055551. The next prime is 464055611. The reversal of 464055552 is 255550464.

464055552 is a `hidden beast` number, since 4 + 640 + 5 + 5 + 5 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 431974656 + 32080896 = 20784^2 + 5664^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464055551) 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 5 ways as a sum of consecutive naturals, for example, 98403 + ... + 103010.

Almost surely, 2464055552 is an apocalyptic number.

It is an amenable number.

464055552 is an abundant number, since it is smaller than the sum of its proper divisors (873937650).

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

464055552 is a wasteful number, since it uses less digits than its factorization.

464055552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201435 (or 201418 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The square root of 464055552 is about 21541.9486583735. The cubic root of 464055552 is about 774.2062227172.

The spelling of 464055552 in words is "four hundred sixty-four million, fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 201413 402826 604239 805652 1208478 1611304 1812717 2416956 3222608 3625434 4833912 6445216 7250868 9667824 12890432 14501736 19335648 25780864 29003472 38671296 51561728 58006944 77342592 116013888 154685184 232027776 464055552