Search a number
-
+
4013083239 = 31141273991
BaseRepresentation
bin1110111100110010…
…1100101001100111
3101100200022202021120
43233030230221213
531204322130424
61502114145023
7201306434064
oct35714545147
911320282246
104013083239
11177a30a920
1293bb82173
134bc552789
142a0d9bc6b
151874aba79
hexef32ca67

4013083239 has 48 divisors (see below), whose sum is σ = 6071135232. Its totient is φ = 2337984000.

The previous prime is 4013083199. The next prime is 4013083259. The reversal of 4013083239 is 9323803104.

It is a happy number.

It is not a de Polignac number, because 4013083239 - 27 = 4013083111 is a prime.

It is a super-2 number, since 2×40130832392 = 32209674166285462242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013083259) 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, 4049034 + ... + 4050024.

It is an arithmetic number, because the mean of its divisors is an integer number (126481984).

Almost surely, 24013083239 is an apocalyptic number.

4013083239 is a deficient number, since it is larger than the sum of its proper divisors (2058051993).

4013083239 is a wasteful number, since it uses less digits than its factorization.

4013083239 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 4013083239 is about 63348.9008507646. The cubic root of 4013083239 is about 1589.1298640768.

The spelling of 4013083239 in words is "four billion, thirteen million, eighty-three thousand, two hundred thirty-nine".

Divisors: 1 3 11 33 41 73 123 219 451 803 991 1353 1681 2409 2973 2993 5043 8979 10901 18491 32703 32923 40631 55473 72343 98769 121893 122713 217029 368139 446941 795773 1340823 1349843 1665871 2387319 2966063 4049529 4997613 8898189 18324581 32626693 54973743 97880079 121608583 364825749 1337694413 4013083239