Search a number
-
+
3923856 = 243331293
BaseRepresentation
bin1110111101111110010000
321101100112000
432331332100
52001030411
6220034000
745231546
oct16757620
97340460
103923856
112240062
121392900
13a75011
14741d96
15527956
hex3bdf90

3923856 has 80 divisors (see below), whose sum is σ = 11665920. Its totient is φ = 1261440.

The previous prime is 3923839. The next prime is 3923863. The reversal of 3923856 is 6583293.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3923856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13246 + ... + 13538.

It is an arithmetic number, because the mean of its divisors is an integer number (145824).

Almost surely, 23923856 is an apocalyptic number.

3923856 is a gapful number since it is divisible by the number (36) 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 3923856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832960).

3923856 is an abundant number, since it is smaller than the sum of its proper divisors (7742064).

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

3923856 is a wasteful number, since it uses less digits than its factorization.

3923856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 329 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 3923856 is about 1980.8725350209. The cubic root of 3923856 is about 157.7263864601.

The spelling of 3923856 in words is "three million, nine hundred twenty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 293 372 432 496 558 586 744 837 879 1116 1172 1488 1674 1758 2232 2344 2637 3348 3516 4464 4688 5274 6696 7032 7911 9083 10548 13392 14064 15822 18166 21096 27249 31644 36332 42192 54498 63288 72664 81747 108996 126576 145328 163494 217992 245241 326988 435984 490482 653976 980964 1307952 1961928 3923856