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55504384 = 291331269
BaseRepresentation
bin1101001110111…
…0111000000000
310212102220200221
43103232320000
5103202120014
65301352424
71242531235
oct323567000
9125386627
1055504384
11293702a1
1216708714
13b664940
14752b78c
154d15b24
hex34eee00

55504384 has 80 divisors (see below), whose sum is σ = 123742080. Its totient is φ = 24698880.

The previous prime is 55504381. The next prime is 55504391. The reversal of 55504384 is 48340555.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55504381) 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, 206202 + ... + 206470.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776).

Almost surely, 255504384 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 55504384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61871040).

55504384 is an abundant number, since it is smaller than the sum of its proper divisors (68237696).

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

55504384 is a wasteful number, since it uses less digits than its factorization.

55504384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The square root of 55504384 is about 7450.1264418800. The cubic root of 55504384 is about 381.4542245795.

The spelling of 55504384 in words is "fifty-five million, five hundred four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 269 403 416 496 512 538 806 832 992 1076 1612 1664 1984 2152 3224 3328 3497 3968 4304 6448 6656 6994 7936 8339 8608 12896 13988 15872 16678 17216 25792 27976 33356 34432 51584 55952 66712 68864 103168 108407 111904 133424 137728 206336 216814 223808 266848 433628 447616 533696 867256 895232 1067392 1734512 1790464 2134784 3469024 4269568 6938048 13876096 27752192 55504384