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4045056 = 28323229
BaseRepresentation
bin1111011011100100000000
321121111202220
433123210000
52013420211
6222411040
746245111
oct17334400
97544686
104045056
112313124
121430a80
13ab8232
14774208
1554d806
hex3db900

4045056 has 72 divisors (see below), whose sum is σ = 11282880. Its totient is φ = 1284096.

The previous prime is 4045051. The next prime is 4045091. The reversal of 4045056 is 6505404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4045051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17550 + ... + 17778.

Almost surely, 24045056 is an apocalyptic number.

4045056 is a gapful number since it is divisible by the number (46) 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 4045056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5641440).

4045056 is an abundant number, since it is smaller than the sum of its proper divisors (7237824).

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

4045056 is a wasteful number, since it uses less digits than its factorization.

4045056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 4045056 is about 2011.2324579720. The cubic root of 4045056 is about 159.3338974360. Note that the first 3 decimals are identical.

It can be divided in two parts, 404 and 5056, that added together give a triangular number (5460 = T104).

The spelling of 4045056 in words is "four million, forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 229 256 276 368 384 458 552 687 736 768 916 1104 1374 1472 1832 2208 2748 2944 3664 4416 5267 5496 5888 7328 8832 10534 10992 14656 15801 17664 21068 21984 29312 31602 42136 43968 58624 63204 84272 87936 126408 168544 175872 252816 337088 505632 674176 1011264 1348352 2022528 4045056