Search a number
-
+
55035456 = 263740949
BaseRepresentation
bin1101000111110…
…0011001000000
310211120002110020
43101330121000
5103042113311
65243333440
71235536140
oct321743100
9124502406
1055035456
112907aa53
1216521280
13b52c378
147448920
154c71c06
hex347c640

55035456 has 56 divisors (see below), whose sum is σ = 166420800. Its totient is φ = 15724032.

The previous prime is 55035451. The next prime is 55035479. The reversal of 55035456 is 65453055.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (55035451) by changing a digit.

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, 19131 + ... + 21818.

It is an arithmetic number, because the mean of its divisors is an integer number (2971800).

Almost surely, 255035456 is an apocalyptic number.

55035456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

55035456 is an abundant number, since it is smaller than the sum of its proper divisors (111385344).

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

55035456 is a wasteful number, since it uses less digits than its factorization.

55035456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40971 (or 40961 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 33.

The square root of 55035456 is about 7418.5885449996. The cubic root of 55035456 is about 380.3769482084.

The spelling of 55035456 in words is "fifty-five million, thirty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 40949 81898 122847 163796 245694 286643 327592 491388 573286 655184 859929 982776 1146572 1310368 1719858 1965552 2293144 2620736 3439716 3931104 4586288 6879432 7862208 9172576 13758864 18345152 27517728 55035456