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55395840 = 29357213
BaseRepresentation
bin1101001101010…
…0011000000000
310212020101210210
43103110120000
5103140131330
65255154120
71241566623
oct323243000
9125211723
1055395840
11292a6795
1216675940
13b627406
1474dddba
154ce38b0
hex34d4600

55395840 has 80 divisors (see below), whose sum is σ = 177118128. Its totient is φ = 14770176.

The previous prime is 55395817. The next prime is 55395841. The reversal of 55395840 is 4859355.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55395841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4074 + ... + 11286.

Almost surely, 255395840 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 55395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88559064).

55395840 is an abundant number, since it is smaller than the sum of its proper divisors (121722288).

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

55395840 is an equidigital number, since it uses as much as digits as its factorization.

55395840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7239 (or 7223 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The square root of 55395840 is about 7442.8381683334. The cubic root of 55395840 is about 381.2054058743.

The spelling of 55395840 in words is "fifty-five million, three hundred ninety-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7213 7680 14426 21639 28852 36065 43278 57704 72130 86556 108195 115408 144260 173112 216390 230816 288520 346224 432780 461632 577040 692448 865560 923264 1154080 1384896 1731120 1846528 2308160 2769792 3462240 3693056 4616320 5539584 6924480 9232640 11079168 13848960 18465280 27697920 55395840