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52257744 = 24337111571
BaseRepresentation
bin1100011101011…
…0001111010000
310122022222011000
43013112033100
5101334221434
65104022000
71203116640
oct307261720
9118288130
1052257744
1127553020
1215601900
13aa98c56
146d24520
1548c3b99
hex31d63d0

52257744 has 160 divisors (see below), whose sum is σ = 187130880. Its totient is φ = 13564800.

The previous prime is 52257731. The next prime is 52257757. The reversal of 52257744 is 44775225.

It is a happy number.

52257744 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 (52257731) and next prime (52257757).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52257699 and 52257708.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 32479 + ... + 34049.

It is an arithmetic number, because the mean of its divisors is an integer number (1169568).

Almost surely, 252257744 is an apocalyptic number.

52257744 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 52257744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93565440).

52257744 is an abundant number, since it is smaller than the sum of its proper divisors (134873136).

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

52257744 is a wasteful number, since it uses less digits than its factorization.

52257744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1594 counting only the distinct ones).

The product of its digits is 78400, while the sum is 36.

The square root of 52257744 is about 7228.9517912350. The cubic root of 52257744 is about 373.8667869915.

The spelling of 52257744 in words is "fifty-two million, two hundred fifty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1571 1584 1848 2079 2376 2772 3024 3142 3696 4158 4713 4752 5544 6284 8316 9426 10997 11088 12568 14139 16632 17281 18852 21994 25136 28278 32991 33264 34562 37704 42417 43988 51843 56556 65982 69124 75408 84834 87976 98973 103686 113112 120967 131964 138248 155529 169668 175952 197946 207372 226224 241934 263928 276496 296919 311058 339336 362901 395892 414744 466587 483868 527856 593838 622116 678672 725802 791784 829488 933174 967736 1088703 1187676 1244232 1451604 1583568 1866348 1935472 2177406 2375352 2488464 2903208 3266109 3732696 4354812 4750704 5806416 6532218 7465392 8709624 13064436 17419248 26128872 52257744