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2256896 = 2121929
BaseRepresentation
bin1000100111000000000000
311020122212202
420213000000
51034210041
6120212332
725116605
oct10470000
94218782
102256896
111301704
1290a0a8
13610355
1442a6ac
152e8a9b
hex227000

2256896 has 52 divisors (see below), whose sum is σ = 4914600. Its totient is φ = 1032192.

The previous prime is 2256887. The next prime is 2256901. The reversal of 2256896 is 6986522.

It is a Harshad number since it is a multiple of its sum of digits (38).

Its product of digits (51840) is a multiple of the sum of its prime factors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 77810 + ... + 77838.

22256896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457300).

2256896 is an abundant number, since it is smaller than the sum of its proper divisors (2657704).

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

2256896 is an equidigital number, since it uses as much as digits as its factorization.

2256896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 50 counting only the distinct ones).

The product of its digits is 51840, while the sum is 38.

The square root of 2256896 is about 1502.2969080711. The cubic root of 2256896 is about 131.1708045289.

The spelling of 2256896 in words is "two million, two hundred fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 128 152 232 256 304 464 512 551 608 928 1024 1102 1216 1856 2048 2204 2432 3712 4096 4408 4864 7424 8816 9728 14848 17632 19456 29696 35264 38912 59392 70528 77824 118784 141056 282112 564224 1128448 2256896