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55811520 = 2632519379
BaseRepresentation
bin1101010011100…
…1110111000000
310220000112000100
43110321313000
5103241432040
65312122400
71245250542
oct324716700
9126015010
1055811520
1129560026
1216836400
13b74168b
1475ab692
154d76b30
hex3539dc0

55811520 has 84 divisors (see below), whose sum is σ = 191978280. Its totient is φ = 14882304.

The previous prime is 55811453. The next prime is 55811543. The reversal of 55811520 is 2511855.

55811520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×558115202 = 6229851529420800, which contains 22 as substring.

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, 6810 + ... + 12569.

Almost surely, 255811520 is an apocalyptic number.

It is an amenable number.

55811520 is an abundant number, since it is smaller than the sum of its proper divisors (136166760).

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

55811520 is a wasteful number, since it uses less digits than its factorization.

55811520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19402 (or 19389 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 55811520 is about 7470.7108095549. The cubic root of 55811520 is about 382.1565287815.

The spelling of 55811520 in words is "fifty-five million, eight hundred eleven thousand, five 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 19379 38758 58137 77516 96895 116274 155032 174411 193790 232548 290685 310064 348822 387580 465096 581370 620128 697644 775160 872055 930192 1162740 1240256 1395288 1550320 1744110 1860384 2325480 2790576 3100640 3488220 3720768 4650960 5581152 6201280 6976440 9301920 11162304 13952880 18603840 27905760 55811520