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5456500 = 225371559
BaseRepresentation
bin10100110100001001110100
3101021012220121
4110310021310
52344102000
6312541324
764244110
oct24641164
911235817
105456500
113097605
1219b1844
1311907ca
14a20740
1572bb1a
hex534274

5456500 has 48 divisors (see below), whose sum is σ = 13628160. Its totient is φ = 1869600.

The previous prime is 5456471. The next prime is 5456513. The reversal of 5456500 is 56545.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2721 + ... + 4279.

It is an arithmetic number, because the mean of its divisors is an integer number (283920).

Almost surely, 25456500 is an apocalyptic number.

5456500 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 5456500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6814080).

5456500 is an abundant number, since it is smaller than the sum of its proper divisors (8171660).

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

5456500 is a wasteful number, since it uses less digits than its factorization.

5456500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 5456500 is about 2335.9152381882. The cubic root of 5456500 is about 176.0508203792.

The spelling of 5456500 in words is "five million, four hundred fifty-six thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 500 700 875 1559 1750 3118 3500 6236 7795 10913 15590 21826 31180 38975 43652 54565 77950 109130 155900 194875 218260 272825 389750 545650 779500 1091300 1364125 2728250 5456500