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427900 = 225211389
BaseRepresentation
bin1101000011101111100
3210201222011
41220131330
5102143100
613101004
73431344
oct1503574
9721864
10427900
11272540
12187764
1311c9c5
14b1d24
1586bba
hex6877c

427900 has 36 divisors (see below), whose sum is σ = 1015560. Its totient is φ = 155200.

The previous prime is 427883. The next prime is 427913. The reversal of 427900 is 9724.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 906 + ... + 1294.

It is an arithmetic number, because the mean of its divisors is an integer number (28210).

2427900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507780).

427900 is an abundant number, since it is smaller than the sum of its proper divisors (587660).

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

427900 is a wasteful number, since it uses less digits than its factorization.

427900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 427900 is about 654.1406576571. The cubic root of 427900 is about 75.3553507228.

The spelling of 427900 in words is "four hundred twenty-seven thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 389 550 778 1100 1556 1945 3890 4279 7780 8558 9725 17116 19450 21395 38900 42790 85580 106975 213950 427900