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55638366 = 23731151283
BaseRepresentation
bin1101010000111…
…1100101011110
310212200201111020
43110033211132
5103220411431
65304305010
71243626660
oct324174536
9125621436
1055638366
1129451a23
1216772166
13b6b0914
147564530
154d40696
hex350f95e

55638366 has 64 divisors (see below), whose sum is σ = 132612096. Its totient is φ = 15228000.

The previous prime is 55638347. The next prime is 55638367. The reversal of 55638366 is 66383655.

It is a super-2 number, since 2×556383662 = 6191255542299912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55638367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196461 + ... + 196743.

It is an arithmetic number, because the mean of its divisors is an integer number (2072064).

Almost surely, 255638366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55638366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66306048).

55638366 is an abundant number, since it is smaller than the sum of its proper divisors (76973730).

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

55638366 is a wasteful number, since it uses less digits than its factorization.

55638366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477.

The product of its digits is 388800, while the sum is 42.

The square root of 55638366 is about 7459.1129499425. The cubic root of 55638366 is about 381.7609086533.

The spelling of 55638366 in words is "fifty-five million, six hundred thirty-eight thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 151 186 217 283 302 434 453 566 651 849 906 1057 1302 1698 1981 2114 3171 3962 4681 5943 6342 8773 9362 11886 14043 17546 26319 28086 32767 42733 52638 61411 65534 85466 98301 122822 128199 184233 196602 256398 299131 368466 598262 897393 1324723 1794786 2649446 3974169 7948338 9273061 18546122 27819183 55638366