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5432900 = 2252112449
BaseRepresentation
bin10100101110011001000100
3101020000112112
4110232121010
52342323100
6312240152
764115234
oct24563104
911200475
105432900
113080900
1219a0058
131182b45
14a15cc4
15724b35
hex52e644

5432900 has 54 divisors (see below), whose sum is σ = 12987450. Its totient is φ = 1971200.

The previous prime is 5432893. The next prime is 5432923. The reversal of 5432900 is 92345.

It can be written as a sum of positive squares in 3 ways, for example, as 495616 + 4937284 = 704^2 + 2222^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11876 + ... + 12324.

Almost surely, 25432900 is an apocalyptic number.

5432900 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 5432900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6493725).

5432900 is an abundant number, since it is smaller than the sum of its proper divisors (7554550).

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

5432900 is a wasteful number, since it uses less digits than its factorization.

5432900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 5432900 is about 2330.8582110459. The cubic root of 5432900 is about 175.7966401175.

It can be divided in two parts, 543 and 2900, that added together give a palindrome (3443).

The spelling of 5432900 in words is "five million, four hundred thirty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 449 484 550 605 898 1100 1210 1796 2245 2420 3025 4490 4939 6050 8980 9878 11225 12100 19756 22450 24695 44900 49390 54329 98780 108658 123475 217316 246950 271645 493900 543290 1086580 1358225 2716450 5432900