Search a number
-
+
2148256 = 251117359
BaseRepresentation
bin1000001100011110100000
311001010212001
420030132200
51022221011
6114013344
724155065
oct10143640
94033761
102148256
111238020
12877254
135a2a76
143dcc6c
152c67c1
hex20c7a0

2148256 has 48 divisors (see below), whose sum is σ = 4898880. Its totient is φ = 916480.

The previous prime is 2148241. The next prime is 2148287. The reversal of 2148256 is 6528412.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5805 + ... + 6163.

It is an arithmetic number, because the mean of its divisors is an integer number (102060).

22148256 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 2148256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449440).

2148256 is an abundant number, since it is smaller than the sum of its proper divisors (2750624).

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

2148256 is a wasteful number, since it uses less digits than its factorization.

2148256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 389 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 2148256 is about 1465.6930101491. The cubic root of 2148256 is about 129.0313807037.

The spelling of 2148256 in words is "two million, one hundred forty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 359 374 544 718 748 1436 1496 2872 2992 3949 5744 5984 6103 7898 11488 12206 15796 24412 31592 48824 63184 67133 97648 126368 134266 195296 268532 537064 1074128 2148256