Search a number
-
+
3949056 = 2932857
BaseRepresentation
bin1111000100001000000000
321102122002100
433010020000
52002332211
6220350400
745365166
oct17041000
97378070
103949056
112257a91
1213a5400
13a83627
1474b236
15530156
hex3c4200

3949056 has 60 divisors (see below), whose sum is σ = 11410542. Its totient is φ = 1314816.

The previous prime is 3949051. The next prime is 3949061. The reversal of 3949056 is 6509493.

It is an interprime number because it is at equal distance from previous prime (3949051) and next prime (3949061).

It can be written as a sum of positive squares in only one way, i.e., 2509056 + 1440000 = 1584^2 + 1200^2 .

It is a super-2 number, since 2×39490562 = 31190086582272, which contains 22 as substring.

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 3949056.

It is not an unprimeable number, because it can be changed into a prime (3949051) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4180 + ... + 5036.

Almost surely, 23949056 is an apocalyptic number.

3949056 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 3949056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5705271).

3949056 is an abundant number, since it is smaller than the sum of its proper divisors (7461486).

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

3949056 is an equidigital number, since it uses as much as digits as its factorization.

3949056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3949056 is about 1987.2231882705. The cubic root of 3949056 is about 158.0633191707.

The spelling of 3949056 in words is "three million, nine hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 857 1152 1536 1714 2304 2571 3428 4608 5142 6856 7713 10284 13712 15426 20568 27424 30852 41136 54848 61704 82272 109696 123408 164544 219392 246816 329088 438784 493632 658176 987264 1316352 1974528 3949056