Search a number
-
+
4008763044 = 22321113799857
BaseRepresentation
bin1110111011110000…
…1101111010100100
3101100101012021002100
43232330031322210
531202220404134
61501441412100
7201224631546
oct35674157244
911311167070
104008763044
11177792a010
1293a63a030
134bb69c250
142a0595696
15186e06999
hexeef0dea4

4008763044 has 144 divisors (see below), whose sum is σ = 12056728320. Its totient is φ = 1107025920.

The previous prime is 4008763043. The next prime is 4008763063. The reversal of 4008763044 is 4403678004.

It is a super-2 number, since 2×40087630442 = 32140362285880291872, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4008763043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401764 + ... + 411620.

It is an arithmetic number, because the mean of its divisors is an integer number (83727280).

Almost surely, 24008763044 is an apocalyptic number.

4008763044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4008763044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6028364160).

4008763044 is an abundant number, since it is smaller than the sum of its proper divisors (8047965276).

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

4008763044 is a wasteful number, since it uses less digits than its factorization.

4008763044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9970 (or 9965 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4008763044 is about 63314.7932477079. The cubic root of 4008763044 is about 1588.5594119216.

The spelling of 4008763044 in words is "four billion, eight million, seven hundred sixty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 79 99 117 132 143 156 158 198 234 237 286 316 396 429 468 474 572 711 858 869 948 1027 1287 1422 1716 1738 2054 2574 2607 2844 3081 3476 4108 5148 5214 6162 7821 9243 9857 10428 11297 12324 15642 18486 19714 22594 29571 31284 33891 36972 39428 45188 59142 67782 88713 101673 108427 118284 128141 135564 177426 203346 216854 256282 325281 354852 384423 406692 433708 512564 650562 768846 778703 975843 1153269 1301124 1409551 1537692 1557406 1951686 2306538 2336109 2819102 3114812 3903372 4228653 4613076 4672218 5638204 7008327 8457306 8565733 9344436 10123139 12685959 14016654 16914612 17131466 20246278 25371918 25697199 28033308 30369417 34262932 40492556 50743836 51394398 60738834 77091597 91108251 102788796 111354529 121477668 154183194 182216502 222709058 308366388 334063587 364433004 445418116 668127174 1002190761 1336254348 2004381522 4008763044