Search a number
-
+
4076674065 = 3253183137257
BaseRepresentation
bin1111001011111101…
…0001110000010001
3101112002222111111100
43302333101300101
531322112032230
61512305135013
7203011105062
oct36277216021
911462874440
104076674065
1118021a3622
1295932a469
134cc788c99
142a95d2569
1518cd6d660
hexf2fd1c11

4076674065 has 96 divisors (see below), whose sum is σ = 7464877056. Its totient is φ = 2055536640.

The previous prime is 4076674037. The next prime is 4076674073. The reversal of 4076674065 is 5604766704.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-4076674065 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4076674065.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 15862417 + ... + 15862673.

It is an arithmetic number, because the mean of its divisors is an integer number (77759136).

Almost surely, 24076674065 is an apocalyptic number.

4076674065 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4076674065 is a deficient number, since it is larger than the sum of its proper divisors (3388202991).

4076674065 is a wasteful number, since it uses less digits than its factorization.

4076674065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 4076674065 is about 63848.8376166708. The cubic root of 4076674065 is about 1597.4796341456.

The spelling of 4076674065 in words is "four billion, seventy-six million, six hundred seventy-four thousand, sixty-five".

Divisors: 1 3 5 9 15 31 45 83 93 137 155 249 257 279 411 415 465 685 747 771 1233 1245 1285 1395 2055 2313 2573 3735 3855 4247 6165 7719 7967 11371 11565 12741 12865 21235 21331 23157 23901 34113 35209 38223 38595 39835 56855 63705 63993 71703 102339 105627 106655 115785 119505 170565 176045 191115 191979 316881 319965 352501 358515 511695 528135 661261 959895 1057503 1091479 1584405 1762505 1983783 2922347 3172509 3274437 3306305 5287515 5457395 5951349 8767041 9823311 9918915 14611735 15862545 16372185 26301123 29756745 43835205 49116555 90592757 131505615 271778271 452963785 815334813 1358891355 4076674065