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425019456 = 26328592
BaseRepresentation
bin11001010101010…
…100100001000000
31002121202020002100
4121111110201000
51332301110311
6110101350400
713350414531
oct3125244100
91077666070
10425019456
111a8a04454
12ba408400
136a091604
1440638688
15274a6a56
hex19554840

425019456 has 63 divisors (see below), whose sum is σ = 1219661391. Its totient is φ = 141508224.

The previous prime is 425019437. The next prime is 425019457. The reversal of 425019456 is 654910524.

The square root of 425019456 is 20616.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 425019456.

It is not an unprimeable number, because it can be changed into a prime (425019457) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 494355 + ... + 495213.

Almost surely, 2425019456 is an apocalyptic number.

425019456 is the 20616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425019456

425019456 is an abundant number, since it is smaller than the sum of its proper divisors (794641935).

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

425019456 is an frugal number, since it uses more digits than its factorization.

425019456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The cubic root of 425019456 is about 751.8587708223.

Multiplying 425019456 by its sum of digits (36), we get a square (15300700416 = 1236962).

425019456 divided by its sum of digits (36) gives a square (11806096 = 34362).

The spelling of 425019456 in words is "four hundred twenty-five million, nineteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 859 1718 2577 3436 5154 6872 7731 10308 13744 15462 20616 27488 30924 41232 54976 61848 82464 123696 164928 247392 494784 737881 1475762 2213643 2951524 4427286 5903048 6640929 8854572 11806096 13281858 17709144 23612192 26563716 35418288 47224384 53127432 70836576 106254864 141673152 212509728 425019456