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55327040 = 265414217
BaseRepresentation
bin1101001100001…
…1100101000000
310212002220102122
43103003211000
5103130431130
65253503412
71241162216
oct323034500
9125086378
1055327040
112925a02a
1216641b68
13b601cc2
1474c2cb6
154ccd2e5
hex34c3940

55327040 has 56 divisors (see below), whose sum is σ = 134992872. Its totient is φ = 21585920.

The previous prime is 55327001. The next prime is 55327043. The reversal of 55327040 is 4072355.

It can be written as a sum of positive squares in 4 ways, for example, as 3717184 + 51609856 = 1928^2 + 7184^2 .

It is a super-2 number, since 2×553270402 = 6122162710323200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55327043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11012 + ... + 15228.

It is an arithmetic number, because the mean of its divisors is an integer number (2410587).

Almost surely, 255327040 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 55327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67496436).

55327040 is an abundant number, since it is smaller than the sum of its proper divisors (79665832).

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

55327040 is a wasteful number, since it uses less digits than its factorization.

55327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4275 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 26.

The square root of 55327040 is about 7438.2148395969. The cubic root of 55327040 is about 381.0475252037.

Adding to 55327040 its reverse (4072355), we get a palindrome (59399395).

The spelling of 55327040 in words is "fifty-five million, three hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1640 2624 3280 4217 6560 8434 13120 16868 21085 33736 42170 67472 84340 134944 168680 172897 269888 337360 345794 674720 691588 864485 1349440 1383176 1728970 2766352 3457940 5532704 6915880 11065408 13831760 27663520 55327040