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55013760 = 273259551
BaseRepresentation
bin1101000111011…
…1000110000000
310211111222200200
43101313012000
5103040420020
65243045200
71235415654
oct321670600
9124458620
1055013760
112906571a
1216510800
13b522529
147440a64
154c6a590
hex3477180

55013760 has 96 divisors (see below), whose sum is σ = 189989280. Its totient is φ = 14668800.

The previous prime is 55013753. The next prime is 55013773. The reversal of 55013760 is 6731055.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 985 + ... + 10535.

It is an arithmetic number, because the mean of its divisors is an integer number (1979055).

Almost surely, 255013760 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 55013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94994640).

55013760 is an abundant number, since it is smaller than the sum of its proper divisors (134975520).

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

55013760 is a wasteful number, since it uses less digits than its factorization.

55013760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9576 (or 9561 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 55013760 is about 7417.1261280903. The cubic root of 55013760 is about 380.3269577504.

It can be divided in two parts, 5501 and 3760, that added together give a cube (9261 = 213).

The spelling of 55013760 in words is "fifty-five million, thirteen thousand, seven hundred sixty".

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 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 9551 19102 28653 38204 47755 57306 76408 85959 95510 114612 143265 152816 171918 191020 229224 286530 305632 343836 382040 429795 458448 573060 611264 687672 764080 859590 916896 1146120 1222528 1375344 1528160 1719180 1833792 2292240 2750688 3056320 3438360 3667584 4584480 5501376 6112640 6876720 9168960 11002752 13753440 18337920 27506880 55013760