Search a number
-
+
1026444006 = 232711876863
BaseRepresentation
bin111101001011100…
…100101011100110
32122112102202110200
4331023210223212
54100232202011
6245504131330
734302426060
oct7513445346
92575382420
101026444006
11487445635
12247906b46
13134868723
149a472730
15601a6856
hex3d2e4ae6

1026444006 has 48 divisors (see below), whose sum is σ = 2544182784. Its totient is φ = 292979952.

The previous prime is 1026443989. The next prime is 1026444017. The reversal of 1026444006 is 6004446201.

1026444006 is a `hidden beast` number, since 10 + 2 + 644 + 4 + 0 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146131 + ... + 152993.

It is an arithmetic number, because the mean of its divisors is an integer number (53003808).

Almost surely, 21026444006 is an apocalyptic number.

1026444006 is an abundant number, since it is smaller than the sum of its proper divisors (1517738778).

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

1026444006 is a wasteful number, since it uses less digits than its factorization.

1026444006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8065 (or 8062 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1026444006 is about 32038.1648350838. The cubic root of 1026444006 is about 1008.7380920177.

The spelling of 1026444006 in words is "one billion, twenty-six million, four hundred forty-four thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1187 2374 3561 6863 7122 8309 10683 13726 16618 20589 21366 24927 41178 48041 49854 61767 74781 96082 123534 144123 149562 288246 432369 864738 8146381 16292762 24439143 48878286 57024667 73317429 114049334 146634858 171074001 342148002 513222003 1026444006