Search a number
-
+
5525100 = 2232527877
BaseRepresentation
bin10101000100111001101100
3101101201000100
4111010321230
52403300400
6314231100
764651110
oct25047154
911351010
105525100
1131340a9
121a25490
1311b5ab9
14a3b740
15742100
hex544e6c

5525100 has 108 divisors (see below), whose sum is σ = 19814704. Its totient is φ = 1261440.

The previous prime is 5525089. The next prime is 5525131. The reversal of 5525100 is 15255.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a nialpdrome in base 15.

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 35 ways as a sum of consecutive naturals, for example, 5862 + ... + 6738.

Almost surely, 25525100 is an apocalyptic number.

5525100 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 5525100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9907352).

5525100 is an abundant number, since it is smaller than the sum of its proper divisors (14289604).

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

5525100 is a wasteful number, since it uses less digits than its factorization.

5525100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 5525100 is about 2350.5531263939. The cubic root of 5525100 is about 176.7855297562.

It can be divided in two parts, 5525 and 100, that added together give a square (5625 = 752).

The spelling of 5525100 in words is "five million, five hundred twenty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 877 900 1050 1260 1575 1754 2100 2631 3150 3508 4385 5262 6139 6300 7893 8770 10524 12278 13155 15786 17540 18417 21925 24556 26310 30695 31572 36834 39465 43850 52620 55251 61390 65775 73668 78930 87700 92085 110502 122780 131550 153475 157860 184170 197325 221004 263100 276255 306950 368340 394650 460425 552510 613900 789300 920850 1105020 1381275 1841700 2762550 5525100