Search a number
-
+
425001620 = 22573973001
BaseRepresentation
bin11001010101010…
…000001010010100
31002121201022121202
4121111100022110
51332300022440
6110101132032
713350311531
oct3125201224
91077638552
10425001620
111a89a200a
12ba3ba018
136a086464
1440631d88
15274a1615
hex19550294

425001620 has 48 divisors (see below), whose sum is σ = 914361168. Its totient is φ = 165888000.

The previous prime is 425001571. The next prime is 425001631. The reversal of 425001620 is 26100524.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 806404 + 424195216 = 898^2 + 20596^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 425001592 and 425001601.

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 15 ways as a sum of consecutive naturals, for example, 140120 + ... + 143120.

It is an arithmetic number, because the mean of its divisors is an integer number (19049191).

Almost surely, 2425001620 is an apocalyptic number.

It is an amenable number.

425001620 is an abundant number, since it is smaller than the sum of its proper divisors (489359548).

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

425001620 is a wasteful number, since it uses less digits than its factorization.

425001620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 425001620 is about 20615.5674188221. The cubic root of 425001620 is about 751.8482533896.

The spelling of 425001620 in words is "four hundred twenty-five million, one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 73 97 146 194 292 365 388 485 730 970 1460 1940 3001 6002 7081 12004 14162 15005 28324 30010 35405 60020 70810 141620 219073 291097 438146 582194 876292 1095365 1164388 1455485 2190730 2910970 4381460 5821940 21250081 42500162 85000324 106250405 212500810 425001620