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56127948 = 22317733769
BaseRepresentation
bin1101011000011…
…1000111001100
310220121121001220
43112013013030
5103332043243
65323003340
71251036222
oct326070714
9126547056
1056127948
1129756838
1216969550
13b822706
147650b12
154dda783
hex35871cc

56127948 has 48 divisors (see below), whose sum is σ = 140605920. Its totient is φ = 17362944.

The previous prime is 56127923. The next prime is 56127979. The reversal of 56127948 is 84972165.

56127948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 13008 + ... + 16776.

It is an arithmetic number, because the mean of its divisors is an integer number (2929290).

Almost surely, 256127948 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 56127948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70302960).

56127948 is an abundant number, since it is smaller than the sum of its proper divisors (84477972).

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

56127948 is a wasteful number, since it uses less digits than its factorization.

56127948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3866 (or 3864 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 56127948 is about 7491.8587813706. The cubic root of 56127948 is about 382.8773907812.

It can be divided in two parts, 56127 and 948, that added together give a palindrome (57075).

The spelling of 56127948 in words is "fifty-six million, one hundred twenty-seven thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 73 102 146 204 219 292 438 876 1241 2482 3723 3769 4964 7446 7538 11307 14892 15076 22614 45228 64073 128146 192219 256292 275137 384438 550274 768876 825411 1100548 1650822 3301644 4677329 9354658 14031987 18709316 28063974 56127948