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55145766 = 23132359521
BaseRepresentation
bin1101001001011…
…1010100100110
310211202200202210
43102113110212
5103104131031
65245544250
71236505554
oct322272446
9124680683
1055145766
1129145915
1216575086
13b56a640
147476bd4
154c94746
hex3497526

55145766 has 64 divisors (see below), whose sum is σ = 126282240. Its totient is φ = 15924480.

The previous prime is 55145729. The next prime is 55145801. The reversal of 55145766 is 66754155.

55145766 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 105586 + ... + 106106.

It is an arithmetic number, because the mean of its divisors is an integer number (1973160).

Almost surely, 255145766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55145766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63141120).

55145766 is an abundant number, since it is smaller than the sum of its proper divisors (71136474).

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

55145766 is a wasteful number, since it uses less digits than its factorization.

55145766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621.

The product of its digits is 126000, while the sum is 39.

The square root of 55145766 is about 7426.0195259641. The cubic root of 55145766 is about 380.6309140558.

The spelling of 55145766 in words is "fifty-five million, one hundred forty-five thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 13 23 26 39 46 59 69 78 118 138 177 299 354 521 598 767 897 1042 1357 1534 1563 1794 2301 2714 3126 4071 4602 6773 8142 11983 13546 17641 20319 23966 30739 35282 35949 40638 52923 61478 71898 92217 105846 155779 184434 311558 399607 467337 706997 799214 934674 1198821 1413994 2120991 2397642 4241982 9190961 18381922 27572883 55145766