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125533056 = 27311113263
BaseRepresentation
bin1110111101101…
…11101110000000
322202012201222110
413132313232000
5224114024211
620242335320
73053004405
oct736675600
9282181873
10125533056
1164950930
123605a540
132001351c
141295a2ac
15b049ea6
hex77b7b80

125533056 has 128 divisors (see below), whose sum is σ = 368375040. Its totient is φ = 37560320.

The previous prime is 125533007. The next prime is 125533069. The reversal of 125533056 is 650335521.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477181 + ... + 477443.

It is an arithmetic number, because the mean of its divisors is an integer number (2877930).

Almost surely, 2125533056 is an apocalyptic number.

125533056 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 125533056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184187520).

125533056 is an abundant number, since it is smaller than the sum of its proper divisors (242841984).

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

125533056 is a wasteful number, since it uses less digits than its factorization.

125533056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 125533056 is about 11204.1535155495. The cubic root of 125533056 is about 500.7097334136.

Adding to 125533056 its reverse (650335521), we get a palindrome (775868577).

The spelling of 125533056 in words is "one hundred twenty-five million, five hundred thirty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 113 128 132 176 192 226 263 264 339 352 384 452 526 528 678 704 789 904 1052 1056 1243 1356 1408 1578 1808 2104 2112 2486 2712 2893 3156 3616 3729 4208 4224 4972 5424 5786 6312 7232 7458 8416 8679 9944 10848 11572 12624 14464 14916 16832 17358 19888 21696 23144 25248 29719 29832 33664 34716 39776 43392 46288 50496 59438 59664 69432 79552 89157 92576 100992 118876 119328 138864 159104 178314 185152 237752 238656 277728 326909 356628 370304 475504 477312 555456 653818 713256 951008 980727 1110912 1307636 1426512 1902016 1961454 2615272 2853024 3804032 3922908 5230544 5706048 7845816 10461088 11412096 15691632 20922176 31383264 41844352 62766528 125533056