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2556216 = 2332132731
BaseRepresentation
bin1001110000000100111000
311210212110200
421300010320
51123244331
6130442200
730504345
oct11600470
94725420
102556216
111496583
12a33360
136b6670
144a77cc
153575e6
hex270138

2556216 has 48 divisors (see below), whose sum is σ = 7458360. Its totient is φ = 786240.

The previous prime is 2556193. The next prime is 2556217. The reversal of 2556216 is 6126552.

It is a self number, because there is not a number n which added to its sum of digits gives 2556216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 430 + ... + 2301.

22556216 is an apocalyptic number.

2556216 is a gapful number since it is divisible by the number (26) 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 2556216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729180).

2556216 is an abundant number, since it is smaller than the sum of its proper divisors (4902144).

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

2556216 is a wasteful number, since it uses less digits than its factorization.

2556216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2749 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 2556216 is about 1598.8170627060. The cubic root of 2556216 is about 136.7306409456.

It can be divided in two parts, 2556 and 216, that added together give a palindrome (2772).

The spelling of 2556216 in words is "two million, five hundred fifty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2731 5462 8193 10924 16386 21848 24579 32772 35503 49158 65544 71006 98316 106509 142012 196632 213018 284024 319527 426036 639054 852072 1278108 2556216