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55604100 = 22352732539
BaseRepresentation
bin1101010000011…
…1001110000100
310212121222111010
43110013032010
5103213312400
65303442220
71243425036
oct324071604
9125558433
1055604100
1129429202
1216756370
13b69b146
147555c56
154d35450
hex3507384

55604100 has 72 divisors (see below), whose sum is σ = 163149280. Its totient is φ = 14618880.

The previous prime is 55604099. The next prime is 55604113. The reversal of 55604100 is 140655.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20631 + ... + 23169.

Almost surely, 255604100 is an apocalyptic number.

55604100 is a gapful number since it is divisible by the number (50) 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 55604100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81574640).

55604100 is an abundant number, since it is smaller than the sum of its proper divisors (107545180).

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

55604100 is a wasteful number, since it uses less digits than its factorization.

55604100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 55604100 is about 7456.8156742674. The cubic root of 55604100 is about 381.6825208630.

Adding to 55604100 its reverse (140655), we get a palindrome (55744755).

The spelling of 55604100 in words is "fifty-five million, six hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 292 300 365 438 730 876 1095 1460 1825 2190 2539 3650 4380 5078 5475 7300 7617 10156 10950 12695 15234 21900 25390 30468 38085 50780 63475 76170 126950 152340 185347 190425 253900 370694 380850 556041 741388 761700 926735 1112082 1853470 2224164 2780205 3706940 4633675 5560410 9267350 11120820 13901025 18534700 27802050 55604100