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5448900 = 2235241443
BaseRepresentation
bin10100110010010011000100
3101020211111010
4110302103010
52343331100
6312442220
764213002
oct24622304
911224433
105448900
113091926
1219a9370
13118a202
14a1ba72
15729750
hex5324c4

5448900 has 72 divisors (see below), whose sum is σ = 16186464. Its totient is φ = 1414400.

The previous prime is 5448899. The next prime is 5448923. The reversal of 5448900 is 98445.

It is a super-2 number, since 2×54489002 = 59381022420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12079 + ... + 12521.

It is an arithmetic number, because the mean of its divisors is an integer number (224812).

Almost surely, 25448900 is an apocalyptic number.

5448900 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 5448900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8093232).

5448900 is an abundant number, since it is smaller than the sum of its proper divisors (10737564).

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

5448900 is a wasteful number, since it uses less digits than its factorization.

5448900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5448900 is about 2334.2878999815. The cubic root of 5448900 is about 175.9690458648.

The spelling of 5448900 in words is "five million, four hundred forty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 443 492 615 820 886 1025 1230 1329 1772 2050 2215 2460 2658 3075 4100 4430 5316 6150 6645 8860 11075 12300 13290 18163 22150 26580 33225 36326 44300 54489 66450 72652 90815 108978 132900 181630 217956 272445 363260 454075 544890 908150 1089780 1362225 1816300 2724450 5448900