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3802385972 = 227113171279
BaseRepresentation
bin1110001010100011…
…1100111000110100
3100210222212012222002
43202220330320310
530241402322342
61425150154432
7163140514250
oct34250747064
910728765862
103802385972
111681390950
128a14b2a18
134879c1438
14280dd3260
15173c3cd32
hexe2a3ce34

3802385972 has 144 divisors (see below), whose sum is σ = 8795996160. Its totient is φ = 1395576000.

The previous prime is 3802385927. The next prime is 3802385987. The reversal of 3802385972 is 2795832083.

3802385972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48131429 + ... + 48131507.

Almost surely, 23802385972 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 3802385972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4397998080).

3802385972 is an abundant number, since it is smaller than the sum of its proper divisors (4993610188).

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

3802385972 is a wasteful number, since it uses less digits than its factorization.

3802385972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The square root of 3802385972 is about 61663.4897812312. The cubic root of 3802385972 is about 1560.8172865185.

The spelling of 3802385972 in words is "three billion, eight hundred two million, three hundred eighty-five thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 71 77 79 124 142 154 158 217 284 308 316 341 434 497 553 682 781 868 869 994 1106 1364 1562 1738 1988 2201 2212 2387 2449 3124 3476 4402 4774 4898 5041 5467 5609 6083 8804 9548 9796 10082 10934 11218 12166 15407 17143 20164 21868 22436 24211 24332 26939 30814 34286 35287 39263 48422 53878 55451 61628 61699 68572 70574 78526 96844 107756 110902 123398 141148 156271 157052 169477 173879 188573 221804 246796 312542 338954 347758 377146 388157 398239 431893 625084 677908 695516 754292 776314 796478 863786 1093897 1217153 1552628 1592956 1718981 1727572 1912669 2187794 2434306 2787673 3437962 3825338 4375588 4380629 4868612 5575346 6875924 7650676 8761258 11150692 12032867 12345409 13388683 17522516 24065734 24690818 26777366 30664403 48131468 49381636 53554732 61328806 86417863 122657612 135799499 172835726 271598998 345671452 543197996 950596493 1901192986 3802385972