Search a number
-
+
4532007552 = 27331380713
BaseRepresentation
bin1000011100010000…
…01111001010000000
3102200211202211121120
410032020033022000
533240143220202
62025412352240
7220210300002
oct41610171200
912624684546
104532007552
111a16222396
12a65915680
13572c02497
1430dc7c372
151b7d120bc
hex10e20f280

4532007552 has 64 divisors (see below), whose sum is σ = 12426504960. Its totient is φ = 1461934080.

The previous prime is 4532007551. The next prime is 4532007589. The reversal of 4532007552 is 2557002354.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (4532007551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178453 + ... + 202260.

It is an arithmetic number, because the mean of its divisors is an integer number (194164140).

Almost surely, 24532007552 is an apocalyptic number.

It is an amenable number.

4532007552 is an abundant number, since it is smaller than the sum of its proper divisors (7894497408).

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

4532007552 is a wasteful number, since it uses less digits than its factorization.

4532007552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380761 (or 380749 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 33.

The square root of 4532007552 is about 67320.1868090100. The cubic root of 4532007552 is about 1654.8686991912.

The spelling of 4532007552 in words is "four billion, five hundred thirty-two million, seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 11904 380713 761426 1142139 1522852 2284278 3045704 4568556 6091408 9137112 11802103 12182816 18274224 23604206 24365632 35406309 36548448 47208412 48731264 70812618 73096896 94416824 141625236 146193792 188833648 283250472 377667296 566500944 755334592 1133001888 1510669184 2266003776 4532007552