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2440872 = 2332729167
BaseRepresentation
bin1001010011111010101000
311121000020200
421103322220
51111101442
6124152200
726514150
oct11237250
94530220
102440872
111417955
12998660
13676005
14477760
1533334c
hex253ea8

2440872 has 96 divisors (see below), whose sum is σ = 7862400. Its totient is φ = 669312.

The previous prime is 2440861. The next prime is 2440883. The reversal of 2440872 is 2780442.

2440872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2440861) and next prime (2440883).

It is a super-2 number, since 2×24408722 = 11915712240768, which contains 22 as substring.

It is a plaindrome in base 15.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14533 + ... + 14699.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

22440872 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 2440872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931200).

2440872 is an abundant number, since it is smaller than the sum of its proper divisors (5421528).

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

2440872 is a wasteful number, since it uses less digits than its factorization.

2440872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2440872 is about 1562.3290306462. The cubic root of 2440872 is about 134.6423454863.

The spelling of 2440872 in words is "two million, four hundred forty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 56 58 63 72 84 87 116 126 167 168 174 203 232 252 261 334 348 406 501 504 522 609 668 696 812 1002 1044 1169 1218 1336 1503 1624 1827 2004 2088 2338 2436 3006 3507 3654 4008 4676 4843 4872 6012 7014 7308 9352 9686 10521 12024 14028 14529 14616 19372 21042 28056 29058 33901 38744 42084 43587 58116 67802 84168 87174 101703 116232 135604 174348 203406 271208 305109 348696 406812 610218 813624 1220436 2440872