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55388268 = 223213196229
BaseRepresentation
bin1101001101001…
…0100001101100
310212020000102100
43103102201230
5103134411033
65255055100
71241535555
oct323224154
9125200370
1055388268
11292a1031
1216671490
13b623b30
1474db32c
154ce1513
hex34d286c

55388268 has 72 divisors (see below), whose sum is σ = 158740400. Its totient is φ = 16142976.

The previous prime is 55388219. The next prime is 55388269. The reversal of 55388268 is 86288355.

It is a happy number.

55388268 is a `hidden beast` number, since 5 + 5 + 388 + 268 = 666.

It is not an unprimeable number, because it can be changed into a prime (55388269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5778 + ... + 12006.

Almost surely, 255388268 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 55388268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79370200).

55388268 is an abundant number, since it is smaller than the sum of its proper divisors (103352132).

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

55388268 is a wasteful number, since it uses less digits than its factorization.

55388268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6271 (or 6266 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 55388268 is about 7442.3294740289. The cubic root of 55388268 is about 381.1880362255.

The spelling of 55388268 in words is "fifty-five million, three hundred eighty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1482 2223 2964 4446 6229 8892 12458 18687 24916 37374 56061 74748 80977 112122 118351 161954 224244 236702 242931 323908 355053 473404 485862 710106 728793 971724 1065159 1420212 1457586 1538563 2130318 2915172 3077126 4260636 4615689 6154252 9231378 13847067 18462756 27694134 55388268