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2392864 = 25374347
BaseRepresentation
bin1001001000001100100000
311111120101121
421020030200
51103032424
6123142024
726224165
oct11101440
94446347
102392864
111394881
12974914
1365a1c6
1446406c
15323ee4
hex248320

2392864 has 48 divisors (see below), whose sum is σ = 5056128. Its totient is φ = 1112832.

The previous prime is 2392861. The next prime is 2392891. The reversal of 2392864 is 4682932.

2392864 = T177 + T178 + ... + T270.

2392864 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 215 + 35 + 9 + 221 + 83 + 62 + 49 .

It is not an unprimeable number, because it can be changed into a prime (2392861) 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, 50889 + ... + 50935.

It is an arithmetic number, because the mean of its divisors is an integer number (105336).

22392864 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 2392864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528064).

2392864 is an abundant number, since it is smaller than the sum of its proper divisors (2663264).

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

2392864 is a wasteful number, since it uses less digits than its factorization.

2392864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 129 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 2392864 is about 1546.8884898402. Note that the first 3 decimals coincide. The cubic root of 2392864 is about 133.7537617948.

The spelling of 2392864 in words is "two million, three hundred ninety-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 37 43 47 74 86 94 148 172 188 296 344 376 592 688 752 1184 1376 1504 1591 1739 2021 3182 3478 4042 6364 6956 8084 12728 13912 16168 25456 27824 32336 50912 55648 64672 74777 149554 299108 598216 1196432 2392864