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51134544 = 2433412887
BaseRepresentation
bin1100001100010…
…0000001010000
310120012220102000
43003010001100
5101042301134
65023554000
71160431206
oct303040120
9116186360
1051134544
112695615a
121515b900
13a794936
146b11076
154750e99
hex30c4050

51134544 has 80 divisors (see below), whose sum is σ = 150407040. Its totient is φ = 16623360.

The previous prime is 51134539. The next prime is 51134549. The reversal of 51134544 is 44543115.

It is a happy number.

51134544 is a `hidden beast` number, since 5 + 113 + 4 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (51134539) and next prime (51134549).

It is a super-2 number, since 2×511345442 = 5229483180175872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51134549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16269 + ... + 19155.

It is an arithmetic number, because the mean of its divisors is an integer number (1880088).

Almost surely, 251134544 is an apocalyptic number.

51134544 is a gapful number since it is divisible by the number (54) 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 51134544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75203520).

51134544 is an abundant number, since it is smaller than the sum of its proper divisors (99272496).

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

51134544 is a wasteful number, since it uses less digits than its factorization.

51134544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945 (or 2933 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 51134544 is about 7150.8421881622. The cubic root of 51134544 is about 371.1687997087.

Adding to 51134544 its reverse (44543115), we get a palindrome (95677659).

The spelling of 51134544 in words is "fifty-one million, one hundred thirty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 216 246 328 369 432 492 656 738 984 1107 1476 1968 2214 2887 2952 4428 5774 5904 8661 8856 11548 17322 17712 23096 25983 34644 46192 51966 69288 77949 103932 118367 138576 155898 207864 236734 311796 355101 415728 473468 623592 710202 946936 1065303 1247184 1420404 1893872 2130606 2840808 3195909 4261212 5681616 6391818 8522424 12783636 17044848 25567272 51134544