Search a number
-
+
2465856 = 26331427
BaseRepresentation
bin1001011010000001000000
311122021112000
421122001000
51112401411
6124504000
726650041
oct11320100
94567460
102465856
1114346a8
129ab000
136844b3
144828c8
1533a956
hex25a040

2465856 has 56 divisors (see below), whose sum is σ = 7254240. Its totient is φ = 821376.

The previous prime is 2465851. The next prime is 2465891. The reversal of 2465856 is 6585642.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2465856.

It is not an unprimeable number, because it can be changed into a prime (2465851) 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, 1015 + ... + 2441.

It is an arithmetic number, because the mean of its divisors is an integer number (129540).

22465856 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 2465856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3627120).

2465856 is an abundant number, since it is smaller than the sum of its proper divisors (4788384).

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

2465856 is a wasteful number, since it uses less digits than its factorization.

2465856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1432 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 2465856 is about 1570.3044290837. The cubic root of 2465856 is about 135.1001725652.

It can be divided in two parts, 2465 and 856, that added together give a triangular number (3321 = T81).

The spelling of 2465856 in words is "two million, four hundred sixty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1427 1728 2854 4281 5708 8562 11416 12843 17124 22832 25686 34248 38529 45664 51372 68496 77058 91328 102744 136992 154116 205488 273984 308232 410976 616464 821952 1232928 2465856