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1056522144 = 253127193449
BaseRepresentation
bin111110111110010…
…011111110100000
32201122000212220210
4332332103332200
54130432202034
6252500534120
735116201326
oct7676237640
92648025823
101056522144
114a24197a7
122559b1340
1313ab6a142
14a0461d16
1562b488e9
hex3ef93fa0

1056522144 has 96 divisors (see below), whose sum is σ = 2815948800. Its totient is φ = 346816512.

The previous prime is 1056522133. The next prime is 1056522167. The reversal of 1056522144 is 4412256501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10565221442 = 2232478081524713472, which contains 22 as substring.

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, 2352832 + ... + 2353280.

It is an arithmetic number, because the mean of its divisors is an integer number (29332800).

Almost surely, 21056522144 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 1056522144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407974400).

1056522144 is an abundant number, since it is smaller than the sum of its proper divisors (1759426656).

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

1056522144 is a wasteful number, since it uses less digits than its factorization.

1056522144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 1056522144 is about 32504.1865611186. The cubic root of 1056522144 is about 1018.4964853571.

Adding to 1056522144 its reverse (4412256501), we get a palindrome (5468778645).

The spelling of 1056522144 in words is "one billion, fifty-six million, five hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 193 254 381 386 449 508 579 762 772 898 1016 1158 1347 1524 1544 1796 2032 2316 2694 3048 3088 3592 4064 4632 5388 6096 6176 7184 9264 10776 12192 14368 18528 21552 24511 43104 49022 57023 73533 86657 98044 114046 147066 171069 173314 196088 228092 259971 294132 342138 346628 392176 456184 519942 588264 684276 693256 784352 912368 1039884 1176528 1368552 1386512 1824736 2079768 2353056 2737104 2773024 4159536 5474208 8319072 11005439 22010878 33016317 44021756 66032634 88043512 132065268 176087024 264130536 352174048 528261072 1056522144