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55427280 = 24351571471
BaseRepresentation
bin1101001101110…
…0000011010000
310212021222221020
43103130003100
5103142133110
65255555440
71242060366
oct323340320
9125258836
1055427280
1129318377
121668bb80
13b63880c
14750b636
154cecd70
hex34dc0d0

55427280 has 80 divisors (see below), whose sum is σ = 173036544. Its totient is φ = 14676480.

The previous prime is 55427257. The next prime is 55427303. The reversal of 55427280 is 8272455.

It is an interprime number because it is at equal distance from previous prime (55427257) and next prime (55427303).

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

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 15 ways as a sum of consecutive naturals, for example, 36945 + ... + 38415.

Almost surely, 255427280 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 55427280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86518272).

55427280 is an abundant number, since it is smaller than the sum of its proper divisors (117609264).

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

55427280 is a wasteful number, since it uses less digits than its factorization.

55427280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 55427280 is about 7444.9499662523. The cubic root of 55427280 is about 381.2775101532.

The spelling of 55427280 in words is "fifty-five million, four hundred twenty-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 157 240 314 471 628 785 942 1256 1471 1570 1884 2355 2512 2942 3140 3768 4413 4710 5884 6280 7355 7536 8826 9420 11768 12560 14710 17652 18840 22065 23536 29420 35304 37680 44130 58840 70608 88260 117680 176520 230947 353040 461894 692841 923788 1154735 1385682 1847576 2309470 2771364 3464205 3695152 4618940 5542728 6928410 9237880 11085456 13856820 18475760 27713640 55427280