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4085067792 = 2431319477331
BaseRepresentation
bin1111001101111101…
…0011000000010000
3101112200202221112010
43303133103000100
531331234132132
61513205102520
7203142334431
oct36337230020
911480687463
104085067792
111806a06993
129600b7a40
135014376a0
142aa779488
1518d97a6cc
hexf37d3010

4085067792 has 160 divisors (see below), whose sum is σ = 12219217920. Its totient is φ = 1165294080.

The previous prime is 4085067757. The next prime is 4085067793. The reversal of 4085067792 is 2977605804.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4085067793) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 553567 + ... + 560897.

It is an arithmetic number, because the mean of its divisors is an integer number (76370112).

Almost surely, 24085067792 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 4085067792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6109608960).

4085067792 is an abundant number, since it is smaller than the sum of its proper divisors (8134150128).

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

4085067792 is a wasteful number, since it uses less digits than its factorization.

4085067792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7421 (or 7415 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 4085067792 is about 63914.5350605009. The cubic root of 4085067792 is about 1598.5752671284.

The spelling of 4085067792 in words is "four billion, eighty-five million, sixty-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 47 48 52 57 76 78 94 104 114 141 152 156 188 208 228 247 282 304 312 376 456 494 564 611 624 741 752 893 912 988 1128 1222 1482 1786 1833 1976 2256 2444 2679 2964 3572 3666 3952 4888 5358 5928 7144 7331 7332 9776 10716 11609 11856 14288 14662 14664 21432 21993 23218 29324 29328 34827 42864 43986 46436 58648 69654 87972 92872 95303 117296 139289 139308 175944 185744 190606 278578 278616 285909 344557 351888 381212 417867 557156 557232 571818 689114 762424 835734 1033671 1114312 1143636 1378228 1524848 1671468 1810757 2067342 2228624 2287272 2756456 3342936 3621514 4134684 4479241 4574544 5432271 5512912 6546583 6685872 7243028 8269368 8958482 10864542 13093166 13437723 14486056 16538736 17916964 19639749 21729084 26186332 26875446 28972112 35833928 39279498 43458168 52372664 53750892 71667856 78558996 85105579 86916336 104745328 107501784 157117992 170211158 215003568 255316737 314235984 340422316 510633474 680844632 1021266948 1361689264 2042533896 4085067792