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55095900 = 22352434271
BaseRepresentation
bin1101001000101…
…1001001011100
310211200011100220
43102023021130
5103101032100
65244521340
71236210306
oct322131134
9124604326
1055095900
1129111402
1216550250
13b550a32
147462976
154c84aa0
hex348b25c

55095900 has 72 divisors (see below), whose sum is σ = 163156224. Its totient is φ = 14347200.

The previous prime is 55095899. The next prime is 55095907. The reversal of 55095900 is 959055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55095907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10765 + ... + 15035.

Almost surely, 255095900 is an apocalyptic number.

55095900 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 55095900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81578112).

55095900 is an abundant number, since it is smaller than the sum of its proper divisors (108060324).

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

55095900 is a wasteful number, since it uses less digits than its factorization.

55095900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4331 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 10125, while the sum is 33.

The square root of 55095900 is about 7422.6612478275. The cubic root of 55095900 is about 380.5161499405.

It can be divided in two parts, 5 and 5095900, that added together give a palindrome (5095905).

The spelling of 55095900 in words is "fifty-five million, ninety-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 2150 2580 3225 4271 4300 6450 8542 12813 12900 17084 21355 25626 42710 51252 64065 85420 106775 128130 183653 213550 256260 320325 367306 427100 550959 640650 734612 918265 1101918 1281300 1836530 2203836 2754795 3673060 4591325 5509590 9182650 11019180 13773975 18365300 27547950 55095900