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3856896 = 293531
BaseRepresentation
bin1110101101101000000000
321020221200000
432231220000
51441410041
6214400000
744532411
oct16555000
97227600
103856896
1121a481a
121360000
13a506b4
14725808
15512bb6
hex3ada00

3856896 has 120 divisors (see below), whose sum is σ = 11915904. Its totient is φ = 1244160.

The previous prime is 3856891. The next prime is 3856903. The reversal of 3856896 is 6986583.

Its product of digits (311040) is a multiple of the sum of its prime divisors (36).

It is not an unprimeable number, because it can be changed into a prime (3856891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124401 + ... + 124431.

Almost surely, 23856896 is an apocalyptic number.

3856896 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 3856896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5957952).

3856896 is an abundant number, since it is smaller than the sum of its proper divisors (8059008).

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

3856896 is an frugal number, since it uses more digits than its factorization.

3856896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 36 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 3856896 is about 1963.8981643660. The cubic root of 3856896 is about 156.8240418501.

The spelling of 3856896 in words is "three million, eight hundred fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 128 144 162 186 192 216 243 248 256 279 288 324 372 384 432 486 496 512 558 576 648 744 768 837 864 972 992 1116 1152 1296 1488 1536 1674 1728 1944 1984 2232 2304 2511 2592 2976 3348 3456 3888 3968 4464 4608 5022 5184 5952 6696 6912 7533 7776 7936 8928 10044 10368 11904 13392 13824 15066 15552 15872 17856 20088 20736 23808 26784 30132 31104 35712 40176 41472 47616 53568 60264 62208 71424 80352 107136 120528 124416 142848 160704 214272 241056 321408 428544 482112 642816 964224 1285632 1928448 3856896