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55271808 = 27351777
BaseRepresentation
bin1101001011011…
…0000110000000
310212000002200000
43102312012000
5103122144213
65252400000
71240542204
oct322660600
9125002600
1055271808
1129221589
1216616000
13b5b2b17
1474aab04
154cbbc73
hex34b6180

55271808 has 96 divisors (see below), whose sum is σ = 165033960. Its totient is φ = 18413568.

The previous prime is 55271807. The next prime is 55271809. The reversal of 55271808 is 80817255.

It is an interprime number because it is at equal distance from previous prime (55271807) and next prime (55271809).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55271807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30216 + ... + 31992.

Almost surely, 255271808 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 55271808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82516980).

55271808 is an abundant number, since it is smaller than the sum of its proper divisors (109762152).

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

55271808 is an equidigital number, since it uses as much as digits as its factorization.

55271808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 55271808 is about 7434.5011937587. The cubic root of 55271808 is about 380.9206853312.

The spelling of 55271808 in words is "fifty-five million, two hundred seventy-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1777 1944 2592 3456 3554 3888 5184 5331 7108 7776 10368 10662 14216 15552 15993 21324 28432 31104 31986 42648 47979 56864 63972 85296 95958 113728 127944 143937 170592 191916 227456 255888 287874 341184 383832 431811 511776 575748 682368 767664 863622 1023552 1151496 1535328 1727244 2047104 2302992 3070656 3454488 4605984 6141312 6908976 9211968 13817952 18423936 27635904 55271808