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4532364324 = 2232539292557
BaseRepresentation
bin1000011100010011…
…00110010000100100
3102200212102222000100
410032021212100210
533240241124244
62025424144100
7220213314105
oct41611462044
912625388010
104532364324
111a16446444
12a65a68030
13572cc89a7
1430dd323ac
151b7d82b69
hex10e266424

4532364324 has 72 divisors (see below), whose sum is σ = 11690111160. Its totient is φ = 1480108032.

The previous prime is 4532364293. The next prime is 4532364341. The reversal of 4532364324 is 4234632354.

4532364324 is a `hidden beast` number, since 4 + 5 + 3 + 2 + 3 + 643 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 99201600 + 4433162724 = 9960^2 + 66582^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1771254 + ... + 1773810.

It is an arithmetic number, because the mean of its divisors is an integer number (162362655).

Almost surely, 24532364324 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 4532364324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5845055580).

4532364324 is an abundant number, since it is smaller than the sum of its proper divisors (7157746836).

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

4532364324 is a wasteful number, since it uses less digits than its factorization.

4532364324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3549 (or 3544 counting only the distinct ones).

The product of its digits is 207360, while the sum is 36.

The square root of 4532364324 is about 67322.8365712557. The cubic root of 4532364324 is about 1654.9121233114.

Adding to 4532364324 its reverse (4234632354), we get a palindrome (8766996678).

The spelling of 4532364324 in words is "four billion, five hundred thirty-two million, three hundred sixty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 929 954 1858 1908 2557 2787 3716 5114 5574 7671 8361 10228 11148 15342 16722 23013 30684 33444 46026 49237 92052 98474 135521 147711 196948 271042 295422 406563 443133 542084 590844 813126 886266 1219689 1626252 1772532 2375453 2439378 4750906 4878756 7126359 9501812 14252718 21379077 28505436 42758154 85516308 125899009 251798018 377697027 503596036 755394054 1133091081 1510788108 2266182162 4532364324