Search a number
-
+
55735944 = 23311613461
BaseRepresentation
bin1101010010011…
…1011010001000
310212212200100020
43110213122020
5103232022234
65310340440
71244514315
oct324473210
9125780306
1055735944
1129509270
12167ba720
13b716164
14758bd0c
154d5e549
hex3527688

55735944 has 64 divisors (see below), whose sum is σ = 154543680. Its totient is φ = 16608000.

The previous prime is 55735931. The next prime is 55735957. The reversal of 55735944 is 44953755.

It is an interprime number because it is at equal distance from previous prime (55735931) and next prime (55735957).

It is a super-2 number, since 2×557359442 = 6212990907142272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55735896 and 55735905.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14374 + ... + 17834.

It is an arithmetic number, because the mean of its divisors is an integer number (2414745).

Almost surely, 255735944 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 55735944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77271840).

55735944 is an abundant number, since it is smaller than the sum of its proper divisors (98807736).

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

55735944 is a wasteful number, since it uses less digits than its factorization.

55735944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3542 (or 3538 counting only the distinct ones).

The product of its digits is 378000, while the sum is 42.

The square root of 55735944 is about 7465.6509428180. The cubic root of 55735944 is about 381.9839544442.

The spelling of 55735944 in words is "fifty-five million, seven hundred thirty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 61 66 88 122 132 183 244 264 366 488 671 732 1342 1464 2013 2684 3461 4026 5368 6922 8052 10383 13844 16104 20766 27688 38071 41532 76142 83064 114213 152284 211121 228426 304568 422242 456852 633363 844484 913704 1266726 1688968 2322331 2533452 4644662 5066904 6966993 9289324 13933986 18578648 27867972 55735944