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28523100 = 22352313067
BaseRepresentation
bin110110011001…
…1101001011100
31222200010100010
41230303221130
524300214400
62455203220
7464304504
oct154635134
958603303
1028523100
1115111911
129676510
135ba8998
143b06a04
152786450
hex1b33a5c

28523100 has 72 divisors (see below), whose sum is σ = 85216768. Its totient is φ = 7358400.

The previous prime is 28523083. The next prime is 28523101. The reversal of 28523100 is 132582.

It is a super-2 number, since 2×285231002 = 1627134467220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28523101) 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, 7767 + ... + 10833.

Almost surely, 228523100 is an apocalyptic number.

28523100 is a gapful number since it is divisible by the number (20) 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 28523100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42608384).

28523100 is an abundant number, since it is smaller than the sum of its proper divisors (56693668).

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

28523100 is a wasteful number, since it uses less digits than its factorization.

28523100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3115 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 28523100 is about 5340.7022010219. The cubic root of 28523100 is about 305.5382415656.

Adding to 28523100 its reverse (132582), we get a palindrome (28655682).

The spelling of 28523100 in words is "twenty-eight million, five hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3067 3100 4650 6134 9201 9300 12268 15335 18402 30670 36804 46005 61340 76675 92010 95077 153350 184020 190154 230025 285231 306700 380308 460050 475385 570462 920100 950770 1140924 1426155 1901540 2376925 2852310 4753850 5704620 7130775 9507700 14261550 28523100