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55375056 = 24331143271
BaseRepresentation
bin1101001100111…
…1010011010000
310212012100022000
43103033103100
5103134000211
65254514000
71241452212
oct323172320
9125170260
1055375056
1129292110
1216665900
13b61ab09
1474d65b2
154cdc656
hex34cf4d0

55375056 has 160 divisors (see below), whose sum is σ = 178083840. Its totient is φ = 16329600.

The previous prime is 55375049. The next prime is 55375057. The reversal of 55375056 is 65057355.

55375056 is a `hidden beast` number, since 553 + 7 + 50 + 56 = 666.

55375056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 55375056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55375057) 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 31 ways as a sum of consecutive naturals, for example, 204201 + ... + 204471.

It is an arithmetic number, because the mean of its divisors is an integer number (1113024).

Almost surely, 255375056 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 55375056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89041920).

55375056 is an abundant number, since it is smaller than the sum of its proper divisors (122708784).

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

55375056 is a wasteful number, since it uses less digits than its factorization.

55375056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 78750, while the sum is 36.

The square root of 55375056 is about 7441.4417957812. The cubic root of 55375056 is about 381.1577250121.

The spelling of 55375056 in words is "fifty-five million, three hundred seventy-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 43 44 48 54 66 72 86 88 99 108 129 132 144 172 176 198 216 258 264 271 297 344 387 396 432 473 516 528 542 594 688 774 792 813 946 1032 1084 1161 1188 1419 1548 1584 1626 1892 2064 2168 2322 2376 2439 2838 2981 3096 3252 3784 4257 4336 4644 4752 4878 5676 5962 6192 6504 7317 7568 8514 8943 9288 9756 11352 11653 11924 12771 13008 14634 17028 17886 18576 19512 22704 23306 23848 25542 26829 29268 34056 34959 35772 39024 46612 47696 51084 53658 58536 68112 69918 71544 80487 93224 102168 104877 107316 117072 128183 139836 143088 160974 186448 204336 209754 214632 256366 279672 314631 321948 384549 419508 429264 512732 559344 629262 643896 769098 839016 1025464 1153647 1258524 1287792 1538196 1678032 2050928 2307294 2517048 3076392 3460941 4614588 5034096 6152784 6921882 9229176 13843764 18458352 27687528 55375056