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56522112 = 2731961127
BaseRepresentation
bin1101011110011…
…1010110000000
310221100121202120
43113213112000
5103432201422
65335244240
71254300333
oct327472600
9127317676
1056522112
11299a5999
1216b19680
13b92cc4a
14771461a
154e6745c
hex35e7580

56522112 has 128 divisors (see below), whose sum is σ = 161894400. Its totient is φ = 17418240.

The previous prime is 56522111. The next prime is 56522113. The reversal of 56522112 is 21122565.

It is a happy number.

56522112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56522111) and next prime (56522113).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56522111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444993 + ... + 445119.

It is an arithmetic number, because the mean of its divisors is an integer number (1264800).

Almost surely, 256522112 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 56522112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80947200).

56522112 is an abundant number, since it is smaller than the sum of its proper divisors (105372288).

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

56522112 is a wasteful number, since it uses less digits than its factorization.

56522112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 212 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 56522112 is about 7518.1189136645. The cubic root of 56522112 is about 383.7715655244.

Adding to 56522112 its reverse (21122565), we get a palindrome (77644677).

The spelling of 56522112 in words is "fifty-six million, five hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 61 64 76 96 114 122 127 128 152 183 192 228 244 254 304 366 381 384 456 488 508 608 732 762 912 976 1016 1159 1216 1464 1524 1824 1952 2032 2318 2413 2432 2928 3048 3477 3648 3904 4064 4636 4826 5856 6096 6954 7239 7296 7747 7808 8128 9272 9652 11712 12192 13908 14478 15494 16256 18544 19304 23241 23424 24384 27816 28956 30988 37088 38608 46482 48768 55632 57912 61976 74176 77216 92964 111264 115824 123952 147193 148352 154432 185928 222528 231648 247904 294386 308864 371856 441579 445056 463296 495808 588772 743712 883158 926592 991616 1177544 1487424 1766316 2355088 2974848 3532632 4710176 7065264 9420352 14130528 18840704 28261056 56522112