Search a number
-
+
55778544 = 2434193223
BaseRepresentation
bin1101010011000…
…1110011110000
310212221211210000
43110301303300
5103234403134
65311310000
71245052443
oct324616360
9125854700
1055778544
1129538278
121681b300
13b72c673
14759d65a
154d6be99
hex3531cf0

55778544 has 100 divisors (see below), whose sum is σ = 163003456. Its totient is φ = 18413568.

The previous prime is 55778543. The next prime is 55778549. The reversal of 55778544 is 44587755.

55778544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×557785442 = 6222491941519872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55778544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55778543) 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 19 ways as a sum of consecutive naturals, for example, 250017 + ... + 250239.

Almost surely, 255778544 is an apocalyptic number.

55778544 is a gapful number since it is divisible by the number (54) 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 55778544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81501728).

55778544 is an abundant number, since it is smaller than the sum of its proper divisors (107224912).

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

55778544 is a wasteful number, since it uses less digits than its factorization.

55778544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 421 counting only the distinct ones).

The product of its digits is 784000, while the sum is 45.

The square root of 55778544 is about 7468.5034645503. The cubic root of 55778544 is about 382.0812487649.

The spelling of 55778544 in words is "fifty-five million, seven hundred seventy-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 193 216 223 324 386 432 446 579 648 669 772 892 1158 1296 1338 1544 1737 1784 2007 2316 2676 3088 3474 3568 4014 4632 5211 5352 6021 6948 8028 9264 10422 10704 12042 13896 15633 16056 18063 20844 24084 27792 31266 32112 36126 41688 43039 48168 62532 72252 83376 86078 96336 125064 129117 144504 172156 250128 258234 289008 344312 387351 516468 688624 774702 1032936 1162053 1549404 2065872 2324106 3098808 3486159 4648212 6197616 6972318 9296424 13944636 18592848 27889272 55778544