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2672288 = 2537261
BaseRepresentation
bin1010001100011010100000
312000202200122
422030122200
51141003123
6133135412
731466633
oct12143240
95022618
102672288
111565803
12a8a568
13727448
144d7c1a
1537bbc8
hex28c6a0

2672288 has 36 divisors (see below), whose sum is σ = 5495742. Its totient is φ = 1278720.

The previous prime is 2672273. The next prime is 2672303. The reversal of 2672288 is 8822762.

It is an interprime number because it is at equal distance from previous prime (2672273) and next prime (2672303).

It can be written as a sum of positive squares in 3 ways, for example, as 2521744 + 150544 = 1588^2 + 388^2 .

It is a super-2 number, since 2×26722882 = 14282246309888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43778 + ... + 43838.

22672288 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 2672288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747871).

2672288 is an abundant number, since it is smaller than the sum of its proper divisors (2823454).

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

2672288 is an equidigital number, since it uses as much as digits as its factorization.

2672288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 100 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 2672288 is about 1634.7134305437. The cubic root of 2672288 is about 138.7696268532.

The spelling of 2672288 in words is "two million, six hundred seventy-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 37 61 74 122 148 244 296 488 592 976 1184 1369 1952 2257 2738 4514 5476 9028 10952 18056 21904 36112 43808 72224 83509 167018 334036 668072 1336144 2672288