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4002825834 = 2327313727697
BaseRepresentation
bin1110111010010110…
…0100011001101010
3101022222000121202200
43232211210121222
531144210411314
61501110241030
7201123313110
oct35645443152
911288017680
104002825834
111774544327
12938656176
134ba3a09c7
1429d88bab0
15186632709
hexee96466a

4002825834 has 96 divisors (see below), whose sum is σ = 10508399616. Its totient is φ = 1076820480.

The previous prime is 4002825821. The next prime is 4002825851. The reversal of 4002825834 is 4385282004.

It is a super-2 number, since 2×40028258342 = 32045229314675591112, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 130674 + ... + 158370.

It is an arithmetic number, because the mean of its divisors is an integer number (109462496).

Almost surely, 24002825834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002825834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5254199808).

4002825834 is an abundant number, since it is smaller than the sum of its proper divisors (6505573782).

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

4002825834 is a wasteful number, since it uses less digits than its factorization.

4002825834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27780 (or 27777 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4002825834 is about 63267.8894384821. The cubic root of 4002825834 is about 1587.7747749641.

The spelling of 4002825834 in words is "four billion, two million, eight hundred twenty-five thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 31 37 42 62 63 74 93 111 126 186 217 222 259 279 333 434 518 558 651 666 777 1147 1302 1554 1953 2294 2331 3441 3906 4662 6882 8029 10323 16058 20646 24087 27697 48174 55394 72261 83091 144522 166182 193879 249273 387758 498546 581637 858607 1024789 1163274 1717214 1744911 2049578 2575821 3074367 3489822 5151642 6010249 6148734 7173523 7727463 9223101 12020498 14347046 15454926 18030747 18446202 21520569 31768459 36061494 43041138 54092241 63536918 64561707 95305377 108184482 129123414 190610754 222379213 285916131 444758426 571832262 667137639 1334275278 2001412917 4002825834