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2024288 = 25721291
BaseRepresentation
bin111101110001101100000
310210211210122
413232031200
51004234123
6111215412
723130500
oct7561540
93724718
102024288
111162972
12817568
1355b506
143a9a00
1529ebc8
hex1ee360

2024288 has 36 divisors (see below), whose sum is σ = 4639572. Its totient is φ = 866880.

The previous prime is 2024263. The next prime is 2024327. The reversal of 2024288 is 8824202.

2024288 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 5 ways as a sum of consecutive naturals, for example, 923 + ... + 2213.

It is an arithmetic number, because the mean of its divisors is an integer number (128877).

22024288 is an apocalyptic number.

2024288 is a gapful number since it is divisible by the number (28) 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 2024288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319786).

2024288 is an abundant number, since it is smaller than the sum of its proper divisors (2615284).

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

2024288 is a wasteful number, since it uses less digits than its factorization.

2024288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 2024288 is about 1422.7747537822. The cubic root of 2024288 is about 126.5000703026.

The spelling of 2024288 in words is "two million, twenty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1291 1568 2582 5164 9037 10328 18074 20656 36148 41312 63259 72296 126518 144592 253036 289184 506072 1012144 2024288