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4072085208 = 2332174377369
BaseRepresentation
bin1111001010110111…
…0001011011011000
3101111210100100202200
43302231301123120
531314423211313
61512022530200
7202624103352
oct36255613330
911453310680
104072085208
1117aa649984
12957896960
134cb840399
142a8b5a0d2
1518c763b73
hexf2b716d8

4072085208 has 96 divisors (see below), whose sum is σ = 11949022800. Its totient is φ = 1247791104.

The previous prime is 4072085207. The next prime is 4072085233. The reversal of 4072085208 is 8025802704.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4072085207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13948 + ... + 91316.

Almost surely, 24072085208 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 4072085208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5974511400).

4072085208 is an abundant number, since it is smaller than the sum of its proper divisors (7876937592).

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

4072085208 is a wasteful number, since it uses less digits than its factorization.

4072085208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77441 (or 77434 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 4072085208 is about 63812.8921770515. The cubic root of 4072085208 is about 1596.8800148039.

The spelling of 4072085208 in words is "four billion, seventy-two million, eighty-five thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 43 51 68 72 86 102 129 136 153 172 204 258 306 344 387 408 516 612 731 774 1032 1224 1462 1548 2193 2924 3096 4386 5848 6579 8772 13158 17544 26316 52632 77369 154738 232107 309476 464214 618952 696321 928428 1315273 1392642 1856856 2630546 2785284 3326867 3945819 5261092 5570568 6653734 7891638 9980601 10522184 11837457 13307468 15783276 19961202 23674914 26614936 29941803 31566552 39922404 47349828 56556739 59883606 79844808 94699656 113113478 119767212 169670217 226226956 239534424 339340434 452453912 509010651 678680868 1018021302 1357361736 2036042604 4072085208