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55437120 = 2632519249
BaseRepresentation
bin1101001101111…
…0011101000000
310212022111102200
43103132131000
5103142441440
65300113200
71242131154
oct323363500
9125274380
1055437120
1129324802
1216695800
13b64013b
147511064
154d00c30
hex34de740

55437120 has 84 divisors (see below), whose sum is σ = 190690500. Its totient is φ = 14782464.

The previous prime is 55437113. The next prime is 55437163. The reversal of 55437120 is 2173455.

It is a happy number.

55437120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 32626944 + 22810176 = 5712^2 + 4776^2 .

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 11 ways as a sum of consecutive naturals, for example, 6745 + ... + 12504.

It is an arithmetic number, because the mean of its divisors is an integer number (2270125).

Almost surely, 255437120 is an apocalyptic number.

It is an amenable number.

55437120 is an abundant number, since it is smaller than the sum of its proper divisors (135253380).

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

55437120 is a wasteful number, since it uses less digits than its factorization.

55437120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19272 (or 19259 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 55437120 is about 7445.6107875714. The cubic root of 55437120 is about 381.3000715388.

The spelling of 55437120 in words is "fifty-five million, four hundred thirty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 19249 38498 57747 76996 96245 115494 153992 173241 192490 230988 288735 307984 346482 384980 461976 577470 615968 692964 769960 866205 923952 1154940 1231936 1385928 1539920 1732410 1847904 2309880 2771856 3079840 3464820 3695808 4619760 5543712 6159680 6929640 9239520 11087424 13859280 18479040 27718560 55437120