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427500 = 22325419
BaseRepresentation
bin1101000010111101100
3210201102100
41220113230
5102140000
613055100
73430233
oct1502754
9721370
10427500
11272207
12187490
1311c778
14b1b1a
1586a00
hex685ec

427500 has 90 divisors (see below), whose sum is σ = 1421420. Its totient is φ = 108000.

The previous prime is 427477. The next prime is 427513. The reversal of 427500 is 5724.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 427500.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 22491 + ... + 22509.

2427500 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 427500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710710).

427500 is an abundant number, since it is smaller than the sum of its proper divisors (993920).

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

427500 is a wasteful number, since it uses less digits than its factorization.

427500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 427500 is about 653.8348415311. The cubic root of 427500 is about 75.3318627292.

The spelling of 427500 in words is "four hundred twenty-seven thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 125 150 171 180 190 225 228 250 285 300 342 375 380 450 475 500 570 625 684 750 855 900 950 1125 1140 1250 1425 1500 1710 1875 1900 2250 2375 2500 2850 3420 3750 4275 4500 4750 5625 5700 7125 7500 8550 9500 11250 11875 14250 17100 21375 22500 23750 28500 35625 42750 47500 71250 85500 106875 142500 213750 427500