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55981368 = 233629331
BaseRepresentation
bin1101010110001…
…1010100111000
310220100011000000
43111203110320
5103312400433
65315513000
71246555662
oct325432470
9126304000
1055981368
11296666a3
12168b8760
13b7a0a91
147613532
154dac113
hex3563538

55981368 has 112 divisors (see below), whose sum is σ = 163294200. Its totient is φ = 17962560.

The previous prime is 55981363. The next prime is 55981421. The reversal of 55981368 is 86318955.

55981368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (259200) is a multiple of the sum of its prime factors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55981361) 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 27 ways as a sum of consecutive naturals, for example, 168963 + ... + 169293.

Almost surely, 255981368 is an apocalyptic number.

55981368 is a gapful number since it is divisible by the number (58) 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 55981368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81647100).

55981368 is an abundant number, since it is smaller than the sum of its proper divisors (107312832).

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

55981368 is a wasteful number, since it uses less digits than its factorization.

55981368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 365 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 55981368 is about 7482.0697671166. The cubic root of 55981368 is about 382.5438012124.

The spelling of 55981368 in words is "fifty-five million, nine hundred eighty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 243 261 324 331 348 486 522 648 662 696 729 783 972 993 1044 1324 1458 1566 1944 1986 2088 2349 2648 2916 2979 3132 3972 4698 5832 5958 6264 7047 7944 8937 9396 9599 11916 14094 17874 18792 19198 21141 23832 26811 28188 28797 35748 38396 42282 53622 56376 57594 71496 76792 80433 84564 86391 107244 115188 160866 169128 172782 214488 230376 241299 259173 321732 345564 482598 518346 643464 691128 777519 965196 1036692 1555038 1930392 2073384 2332557 3110076 4665114 6220152 6997671 9330228 13995342 18660456 27990684 55981368