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1056050226 = 2327113720593
BaseRepresentation
bin111110111100100…
…000110000110010
32201121010220120100
4332330200300302
54130322101401
6252442453230
735112164430
oct7674406062
92647126510
101056050226
114a2127190
12255804216
1313aa333ba
14a037bd50
1562aa3b86
hex3ef20c32

1056050226 has 96 divisors (see below), whose sum is σ = 2929949568. Its totient is φ = 266872320.

The previous prime is 1056050197. The next prime is 1056050227. The reversal of 1056050226 is 6220506501.

1056050226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10560502262 = 2230484159669302152, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1056050226.

It is not an unprimeable number, because it can be changed into a prime (1056050227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40986 + ... + 61578.

It is an arithmetic number, because the mean of its divisors is an integer number (30520308).

Almost surely, 21056050226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056050226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464974784).

1056050226 is an abundant number, since it is smaller than the sum of its proper divisors (1873899342).

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

1056050226 is a wasteful number, since it uses less digits than its factorization.

1056050226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20656 (or 20653 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1056050226 is about 32496.9264085082. The cubic root of 1056050226 is about 1018.3448184285.

Adding to 1056050226 its reverse (6220506501), we get a palindrome (7276556727).

The spelling of 1056050226 in words is "one billion, fifty-six million, fifty thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 37 42 63 66 74 77 99 111 126 154 198 222 231 259 333 407 462 518 666 693 777 814 1221 1386 1554 2331 2442 2849 3663 4662 5698 7326 8547 17094 20593 25641 41186 51282 61779 123558 144151 185337 226523 288302 370674 432453 453046 679569 761941 864906 1297359 1359138 1523882 1585661 2038707 2285823 2594718 3171322 4077414 4571646 4756983 5333587 6857469 8381351 9513966 10667174 13714938 14270949 16000761 16762702 25144053 28541898 32001522 48002283 50288106 58669457 75432159 96004566 117338914 150864318 176008371 352016742 528025113 1056050226