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55752576 = 2731167197
BaseRepresentation
bin1101010010101…
…1011110000000
310212220112011020
43110223132000
5103233040301
65310545440
71244613645
oct324533600
9125815136
1055752576
112951a810
1216808280
13b7208b9
147593dcc
154d64436
hex352b780

55752576 has 128 divisors (see below), whose sum is σ = 164799360. Its totient is φ = 16558080.

The previous prime is 55752551. The next prime is 55752583. The reversal of 55752576 is 67525755.

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, 282910 + ... + 283106.

It is an arithmetic number, because the mean of its divisors is an integer number (1287495).

Almost surely, 255752576 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 55752576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82399680).

55752576 is an abundant number, since it is smaller than the sum of its proper divisors (109046784).

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

55752576 is a wasteful number, since it uses less digits than its factorization.

55752576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 280 counting only the distinct ones).

The product of its digits is 367500, while the sum is 42.

The square root of 55752576 is about 7466.7647612604. The cubic root of 55752576 is about 382.0219462369.

The spelling of 55752576 in words is "fifty-five million, seven hundred fifty-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 67 88 96 128 132 134 176 192 197 201 264 268 352 384 394 402 528 536 591 704 737 788 804 1056 1072 1182 1408 1474 1576 1608 2112 2144 2167 2211 2364 2948 3152 3216 4224 4288 4334 4422 4728 5896 6304 6432 6501 8576 8668 8844 9456 11792 12608 12864 13002 13199 17336 17688 18912 23584 25216 25728 26004 26398 34672 35376 37824 39597 47168 52008 52796 69344 70752 75648 79194 94336 104016 105592 138688 141504 145189 158388 208032 211184 277376 283008 290378 316776 416064 422368 435567 580756 633552 832128 844736 871134 1161512 1267104 1689472 1742268 2323024 2534208 3484536 4646048 5068416 6969072 9292096 13938144 18584192 27876288 55752576