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1056662256 = 243139071867
BaseRepresentation
bin111110111110110…
…110001011110000
32201122022000010010
4332332312023300
54131001143011
6252503534520
735120323656
oct7676661360
92648260103
101056662256
114a2504aa1
12255a5a440
1313abb8b50
14a049add6
1562b751a6
hex3efb62f0

1056662256 has 80 divisors (see below), whose sum is σ = 2944505984. Its totient is φ = 324594432.

The previous prime is 1056662237. The next prime is 1056662261. The reversal of 1056662256 is 6522666501.

It is a happy number.

It is a super-2 number, since 2×10566622562 = 2233070246510019072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565035 + ... + 566901.

Almost surely, 21056662256 is an apocalyptic number.

1056662256 is a gapful number since it is divisible by the number (16) 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 1056662256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472252992).

1056662256 is an abundant number, since it is smaller than the sum of its proper divisors (1887843728).

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

1056662256 is a wasteful number, since it uses less digits than its factorization.

1056662256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 1056662256 is about 32506.3417812586. The cubic root of 1056662256 is about 1018.5415064269.

The spelling of 1056662256 in words is "one billion, fifty-six million, six hundred sixty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 907 1814 1867 2721 3628 3734 5442 5601 7256 7468 10884 11202 11791 14512 14936 21768 22404 23582 24271 29872 35373 43536 44808 47164 48542 70746 72813 89616 94328 97084 141492 145626 188656 194168 282984 291252 388336 565968 582504 1165008 1693369 3386738 5080107 6773476 10160214 13546952 20320428 22013797 27093904 40640856 44027594 66041391 81281712 88055188 132082782 176110376 264165564 352220752 528331128 1056662256