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425820 = 223547151
BaseRepresentation
bin1100111111101011100
3210122010010
41213331130
5102111240
613043220
73422313
oct1477534
9718103
10425820
11270a1a
12186510
1311ba85
14b127a
1586280
hex67f5c

425820 has 48 divisors (see below), whose sum is σ = 1225728. Its totient is φ = 110400.

The previous prime is 425819. The next prime is 425837. The reversal of 425820 is 28524.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2745 + ... + 2895.

It is an arithmetic number, because the mean of its divisors is an integer number (25536).

2425820 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 425820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612864).

425820 is an abundant number, since it is smaller than the sum of its proper divisors (799908).

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

425820 is a wasteful number, since it uses less digits than its factorization.

425820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 425820 is about 652.5488487462. The cubic root of 425820 is about 75.2330528460.

It can be divided in two parts, 4258 and 20, that added together give a triangular number (4278 = T92).

The spelling of 425820 in words is "four hundred twenty-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 151 188 235 282 302 453 470 564 604 705 755 906 940 1410 1510 1812 2265 2820 3020 4530 7097 9060 14194 21291 28388 35485 42582 70970 85164 106455 141940 212910 425820