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55780256 = 2572271097
BaseRepresentation
bin1101010011001…
…0001110100000
310212221221010102
43110302032200
5103234432011
65311321532
71245060440
oct324621640
9125857112
1055780256
1129539594
12168202a8
13b73038c
1475a0120
154d6c73b
hex35323a0

55780256 has 48 divisors (see below), whose sum is σ = 126173376. Its totient is φ = 23778816.

The previous prime is 55780243. The next prime is 55780261. The reversal of 55780256 is 65208755.

It is a super-2 number, since 2×557802562 = 6222873918851072, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 50300 + ... + 51396.

It is an arithmetic number, because the mean of its divisors is an integer number (2628612).

Almost surely, 255780256 is an apocalyptic number.

55780256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55780256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63086688).

55780256 is an abundant number, since it is smaller than the sum of its proper divisors (70393120).

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

55780256 is a wasteful number, since it uses less digits than its factorization.

55780256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 38.

The square root of 55780256 is about 7468.6180783328. The cubic root of 55780256 is about 382.0851577734.

The spelling of 55780256 in words is "fifty-five million, seven hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 227 454 908 1097 1589 1816 2194 3178 3632 4388 6356 7264 7679 8776 12712 15358 17552 25424 30716 35104 50848 61432 122864 245728 249019 498038 996076 1743133 1992152 3486266 3984304 6972532 7968608 13945064 27890128 55780256