| Base | Representation |
|---|---|
| bin | 1110110011010000… |
| … | …0111110011100000 |
| 3 | 101020220001200222100 |
| 4 | 3230310013303200 |
| 5 | 31114102231212 |
| 6 | 1454125010400 |
| 7 | 200312451240 |
| oct | 35464076340 |
| 9 | 11226050870 |
| 10 | 3973086432 |
| 11 | 1759781707 |
| 12 | 92a6b3a00 |
| 13 | 4b418a523 |
| 14 | 299949b20 |
| 15 | 183c0abdc |
| hex | ecd07ce0 |
3973086432 has 144 divisors (see below), whose sum is σ = 13131780480. Its totient is φ = 1115894016.
The previous prime is 3973086419. The next prime is 3973086433. The reversal of 3973086432 is 2346803793.
3973086432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-4 number, since 4×39730864324 (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3973086433) 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, 102243 + ... + 135645.
It is an arithmetic number, because the mean of its divisors is an integer number (91192920).
Almost surely, 23973086432 is an apocalyptic number.
3973086432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3973086432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6565890240).
3973086432 is an abundant number, since it is smaller than the sum of its proper divisors (9158694048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3973086432 is a wasteful number, since it uses less digits than its factorization.
3973086432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 33485 (or 33474 counting only the distinct ones).
The product of its (nonzero) digits is 653184, while the sum is 45.
The square root of 3973086432 is about 63032.4236564008. The cubic root of 3973086432 is about 1583.8328182907.
The spelling of 3973086432 in words is "three billion, nine hundred seventy-three million, eighty-six thousand, four hundred thirty-two".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.066 sec. • engine limits •