Search a number
-
+
4064033436 = 22329131239373
BaseRepresentation
bin1111001000111100…
…0011101010011100
3101111020012021210220
43302033003222130
531310343032221
61511134201340
7202465466661
oct36217035234
911436167726
104064033436
1117a604a521
12955053250
134c9c81518
142a7a61a68
1518bbc30c6
hexf23c3a9c

4064033436 has 96 divisors (see below), whose sum is σ = 9952588800. Its totient is φ = 1289084160.

The previous prime is 4064033431. The next prime is 4064033453. The reversal of 4064033436 is 6343304604.

It is a junction number, because it is equal to n+sod(n) for n = 4064033397 and 4064033406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4064033431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10895346 + ... + 10895718.

It is an arithmetic number, because the mean of its divisors is an integer number (103672800).

Almost surely, 24064033436 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 4064033436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976294400).

4064033436 is an abundant number, since it is smaller than the sum of its proper divisors (5888555364).

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

4064033436 is a wasteful number, since it uses less digits than its factorization.

4064033436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

The square root of 4064033436 is about 63749.7720466513. The cubic root of 4064033436 is about 1595.8268117549.

The spelling of 4064033436 in words is "four billion, sixty-four million, thirty-three thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 29 58 87 116 131 174 239 262 348 373 393 478 524 717 746 786 956 1119 1434 1492 1572 2238 2868 3799 4476 6931 7598 10817 11397 13862 15196 20793 21634 22794 27724 31309 32451 41586 43268 45588 48863 62618 64902 83172 89147 93927 97726 125236 129804 146589 178294 187854 195452 267441 293178 356588 375708 534882 586356 907961 1069764 1417027 1815922 2585263 2723883 2834054 3631844 4251081 5170526 5447766 5668108 7755789 8502162 10341052 10895532 11678257 15511578 17004324 23356514 31023156 35034771 46713028 70069542 140139084 338669453 677338906 1016008359 1354677812 2032016718 4064033436