Search a number
-
+
1026410644 = 2272612932
BaseRepresentation
bin111101001011011…
…100100010010100
32122112101001201001
4331023130202110
54100230120034
6245503313044
734302226600
oct7513344224
92575331631
101026410644
11487422566
122478ab784
1313485649c
149a464500
156019ba14
hex3d2dc894

1026410644 has 54 divisors (see below), whose sum is σ = 2131005534. Its totient is φ = 431202240.

The previous prime is 1026410629. The next prime is 1026410653. The reversal of 1026410644 is 4460146201.

1026410644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 367872400 + 658538244 = 19180^2 + 25662^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3502962 + ... + 3503254.

Almost surely, 21026410644 is an apocalyptic number.

1026410644 is a gapful number since it is divisible by the number (14) 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 1026410644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065502767).

1026410644 is an abundant number, since it is smaller than the sum of its proper divisors (1104594890).

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

1026410644 is an equidigital number, since it uses as much as digits as its factorization.

1026410644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 1026410644 is about 32037.6441705691. The cubic root of 1026410644 is about 1008.7271630615.

Adding to 1026410644 its reverse (4460146201), we get a palindrome (5486556845).

The spelling of 1026410644 in words is "one billion, twenty-six million, four hundred ten thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 293 427 586 854 1172 1708 2051 2989 4102 5978 8204 11956 14357 17873 28714 35746 57428 71492 85849 125111 171698 250222 343396 500444 600943 875777 1201886 1751554 2403772 3503108 4206601 5236789 8413202 10473578 16826404 20947156 36657523 73315046 146630092 256602661 513205322 1026410644