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2440992 = 25347541
BaseRepresentation
bin1001010011111100100000
311121000102010
421103330200
51111102432
6124152520
726514411
oct11237440
94530363
102440992
111417a54
12998740
13676098
14477808
153333cc
hex253f20

2440992 has 48 divisors (see below), whose sum is σ = 6556032. Its totient is φ = 794880.

The previous prime is 2440973. The next prime is 2440993. The reversal of 2440992 is 2990442.

It is a tau number, because it is divible by the number of its divisors (48).

It is a plaindrome in base 15.

It is a nialpdrome in base 12.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (2440993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4242 + ... + 4782.

It is an arithmetic number, because the mean of its divisors is an integer number (136584).

22440992 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 2440992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278016).

2440992 is an abundant number, since it is smaller than the sum of its proper divisors (4115040).

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

2440992 is a wasteful number, since it uses less digits than its factorization.

2440992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2440992 is about 1562.3674343764. The cubic root of 2440992 is about 134.6445519132.

The spelling of 2440992 in words is "two million, four hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 541 564 752 1082 1128 1504 1623 2164 2256 3246 4328 4512 6492 8656 12984 17312 25427 25968 50854 51936 76281 101708 152562 203416 305124 406832 610248 813664 1220496 2440992