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4064623232 = 27411934013
BaseRepresentation
bin1111001001000101…
…0011101010000000
3101111021022020212012
43302101103222000
531311020420412
61511154552052
7202503504335
oct36221235200
911437266765
104064623232
1117a641265a
12955298628
134ca129b07
142a7b7698c
1518bc8cc22
hexf2453a80

4064623232 has 64 divisors (see below), whose sum is σ = 8340048360. Its totient is φ = 1971978240.

The previous prime is 4064623229. The next prime is 4064623253. The reversal of 4064623232 is 2323264604.

It can be written as a sum of positive squares in 4 ways, for example, as 2676613696 + 1388009536 = 51736^2 + 37256^2 .

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

It is a super-2 number, since 2×40646232322 = 33042324036228251648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1010858 + ... + 1014870.

Almost surely, 24064623232 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 4064623232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4170024180).

4064623232 is an abundant number, since it is smaller than the sum of its proper divisors (4275425128).

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

4064623232 is a wasteful number, since it uses less digits than its factorization.

4064623232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4261 (or 4249 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

The square root of 4064623232 is about 63754.3977463516. The cubic root of 4064623232 is about 1595.9040065547.

Adding to 4064623232 its reverse (2323264604), we get a palindrome (6387887836).

The spelling of 4064623232 in words is "four billion, sixty-four million, six hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 193 328 386 656 772 1312 1544 2624 3088 4013 5248 6176 7913 8026 12352 15826 16052 24704 31652 32104 63304 64208 126608 128416 164533 253216 256832 329066 506432 513664 658132 774509 1012864 1316264 1549018 2632528 3098036 5265056 6196072 10530112 12392144 21060224 24784288 31754869 49568576 63509738 99137152 127019476 254038952 508077904 1016155808 2032311616 4064623232