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1533665056 = 257111036043
BaseRepresentation
bin101101101101001…
…1101111100100000
310221212212020221111
41123122131330200
511120104240211
6412103433104
753001636460
oct13332357440
93855766844
101533665056
11717794290
12369755794
131b597b521
14107987ba0
158e999421
hex5b69df20

1533665056 has 96 divisors (see below), whose sum is σ = 3801627648. Its totient is φ = 591632640.

The previous prime is 1533665053. The next prime is 1533665071. The reversal of 1533665056 is 6505663351.

It is not an unprimeable number, because it can be changed into a prime (1533665051) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 250771 + ... + 256813.

It is an arithmetic number, because the mean of its divisors is an integer number (39600288).

Almost surely, 21533665056 is an apocalyptic number.

1533665056 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 1533665056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900813824).

1533665056 is an abundant number, since it is smaller than the sum of its proper divisors (2267962592).

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

1533665056 is a wasteful number, since it uses less digits than its factorization.

1533665056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6174 (or 6166 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 40.

The square root of 1533665056 is about 39162.0359021336. The cubic root of 1533665056 is about 1153.2147118321.

The spelling of 1533665056 in words is "one billion, five hundred thirty-three million, six hundred sixty-five thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 103 112 154 176 206 224 308 352 412 616 721 824 1133 1232 1442 1648 2266 2464 2884 3296 4532 5768 6043 7931 9064 11536 12086 15862 18128 23072 24172 31724 36256 42301 48344 63448 66473 84602 96688 126896 132946 169204 193376 253792 265892 338408 465311 531784 622429 676816 930622 1063568 1244858 1353632 1861244 2127136 2489716 3722488 4357003 4979432 6846719 7444976 8714006 9958864 13693438 14889952 17428012 19917728 27386876 34856024 47927033 54773752 69712048 95854066 109547504 139424096 191708132 219095008 383416264 766832528 1533665056