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55382940 = 22345172011
BaseRepresentation
bin1101001101000…
…1001110011100
310212012202010000
43103101032130
5103134223230
65255014300
71241514204
oct323211634
9125182100
1055382940
1129298028
121666a390
13b621592
1474d9404
154cdeb60
hex34d139c

55382940 has 120 divisors (see below), whose sum is σ = 184049712. Its totient is φ = 13893120.

The previous prime is 55382939. The next prime is 55382947. The reversal of 55382940 is 4928355.

55382940 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 55382895 and 55382904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55382947) 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 39 ways as a sum of consecutive naturals, for example, 26535 + ... + 28545.

Almost surely, 255382940 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 55382940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92024856).

55382940 is an abundant number, since it is smaller than the sum of its proper divisors (128666772).

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

55382940 is a wasteful number, since it uses less digits than its factorization.

55382940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 55382940 is about 7441.9715129796. The cubic root of 55382940 is about 381.1758132100.

The spelling of 55382940 in words is "fifty-five million, three hundred eighty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 255 270 306 324 340 405 459 510 540 612 765 810 918 1020 1377 1530 1620 1836 2011 2295 2754 3060 4022 4590 5508 6033 6885 8044 9180 10055 12066 13770 18099 20110 24132 27540 30165 34187 36198 40220 54297 60330 68374 72396 90495 102561 108594 120660 136748 162891 170935 180990 205122 217188 271485 307683 325782 341870 361980 410244 512805 542970 615366 651564 683740 814455 923049 1025610 1085940 1230732 1538415 1628910 1846098 2051220 2769147 3076830 3257820 3692196 4615245 5538294 6153660 9230490 11076588 13845735 18460980 27691470 55382940