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55013056 = 2671923281
BaseRepresentation
bin1101000111011…
…0111011000000
310211111221201121
43101312323000
5103040404211
65243042024
71235413630
oct321667300
9124457647
1055013056
112906513a
1216510314
13b522107
1474406c0
154c6a271
hex3476ec0

55013056 has 112 divisors (see below), whose sum is σ = 137525760. Its totient is φ = 21288960.

The previous prime is 55013051. The next prime is 55013059. The reversal of 55013056 is 65031055.

55013056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 55013056.

It is not an unprimeable number, because it can be changed into a prime (55013051) by changing a digit.

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, 195636 + ... + 195916.

Almost surely, 255013056 is an apocalyptic number.

55013056 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 55013056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68762880).

55013056 is an abundant number, since it is smaller than the sum of its proper divisors (82512704).

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

55013056 is a wasteful number, since it uses less digits than its factorization.

55013056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 55013056 is about 7417.0786702043. The cubic root of 55013056 is about 380.3253354210.

The spelling of 55013056 in words is "fifty-five million, thirteen thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 19 23 28 32 38 46 56 64 76 92 112 133 152 161 184 224 266 281 304 322 368 437 448 532 562 608 644 736 874 1064 1124 1216 1288 1472 1748 1967 2128 2248 2576 3059 3496 3934 4256 4496 5152 5339 6118 6463 6992 7868 8512 8992 10304 10678 12236 12926 13984 15736 17984 21356 24472 25852 27968 31472 37373 42712 45241 48944 51704 62944 74746 85424 90482 97888 103408 122797 125888 149492 170848 180964 195776 206816 245594 298984 341696 361928 413632 491188 597968 723856 859579 982376 1195936 1447712 1719158 1964752 2391872 2895424 3438316 3929504 6876632 7859008 13753264 27506528 55013056