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406425620 = 22541895569
BaseRepresentation
bin11000001110011…
…001000000010100
31001022202120010202
4120032121000110
51313021104440
6104155040032
713033363226
oct3016310024
91038676122
10406425620
11199464647
12b4140018
1366281243
143bd98416
1525a32615
hex18399014

406425620 has 48 divisors (see below), whose sum is σ = 884293200. Its totient is φ = 156794880.

The previous prime is 406425619. The next prime is 406425659. The reversal of 406425620 is 26524604.

It can be written as a sum of positive squares in 8 ways, for example, as 165431044 + 240994576 = 12862^2 + 15524^2 .

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, 70196 + ... + 75764.

It is an arithmetic number, because the mean of its divisors is an integer number (18422775).

Almost surely, 2406425620 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 406425620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442146600).

406425620 is an abundant number, since it is smaller than the sum of its proper divisors (477867580).

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

406425620 is a wasteful number, since it uses less digits than its factorization.

406425620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5708 (or 5706 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 406425620 is about 20160.0004960317. Note that the first 3 decimals coincide. The cubic root of 406425620 is about 740.7307245084.

The spelling of 406425620 in words is "four hundred six million, four hundred twenty-five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 89 164 178 205 356 410 445 820 890 1780 3649 5569 7298 11138 14596 18245 22276 27845 36490 55690 72980 111380 228329 456658 495641 913316 991282 1141645 1982564 2283290 2478205 4566580 4956410 9912820 20321281 40642562 81285124 101606405 203212810 406425620