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2255376 = 243192473
BaseRepresentation
bin1000100110101000010000
311020120210110
420212220100
51034133001
6120201320
725112304
oct10465020
94216713
102255376
111300552
12909240
1360c756
14429d04
152e83d6
hex226a10

2255376 has 40 divisors (see below), whose sum is σ = 6135520. Its totient is φ = 711936.

The previous prime is 2255333. The next prime is 2255381. The reversal of 2255376 is 6735522.

It is a d-powerful number, because it can be written as 24 + 26 + 56 + 59 + 38 + 72 + 67 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 325 + ... + 2148.

It is an arithmetic number, because the mean of its divisors is an integer number (153388).

22255376 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 2255376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067760).

2255376 is an abundant number, since it is smaller than the sum of its proper divisors (3880144).

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

2255376 is a wasteful number, since it uses less digits than its factorization.

2255376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503 (or 2497 counting only the distinct ones).

The product of its digits is 12600, while the sum is 30.

The square root of 2255376 is about 1501.7909308556. The cubic root of 2255376 is about 131.1413504469.

The spelling of 2255376 in words is "two million, two hundred fifty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 2473 4946 7419 9892 14838 19784 29676 39568 46987 59352 93974 118704 140961 187948 281922 375896 563844 751792 1127688 2255376