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55845756 = 223231163307
BaseRepresentation
bin1101010100001…
…0001101111100
310220002020222100
43111002031330
5103244031011
65312545100
71245452421
oct325021574
9126066870
1055845756
112958381a
1216852190
13b754135
1475b9d48
154d81d56
hex354237c

55845756 has 72 divisors (see below), whose sum is σ = 147090944. Its totient is φ = 17845920.

The previous prime is 55845749. The next prime is 55845767. The reversal of 55845756 is 65754855.

55845756 is a `hidden beast` number, since 558 + 45 + 7 + 56 = 666.

55845756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 181755 + ... + 182061.

Almost surely, 255845756 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 55845756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73545472).

55845756 is an abundant number, since it is smaller than the sum of its proper divisors (91245188).

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

55845756 is a wasteful number, since it uses less digits than its factorization.

55845756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 506 counting only the distinct ones).

The product of its digits is 840000, while the sum is 45.

The square root of 55845756 is about 7473.0018065032. The cubic root of 55845756 is about 382.2346538507.

Subtracting 55845756 from its reverse (65754855), we obtain a palindrome (9909099).

The spelling of 55845756 in words is "fifty-five million, eight hundred forty-five thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 163 186 279 307 326 372 489 558 614 652 921 978 1116 1228 1467 1842 1956 2763 2934 3684 5053 5526 5868 9517 10106 11052 15159 19034 20212 28551 30318 38068 45477 50041 57102 60636 85653 90954 100082 114204 150123 171306 181908 200164 300246 342612 450369 600492 900738 1551271 1801476 3102542 4653813 6205084 9307626 13961439 18615252 27922878 55845756