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425504000 = 285313297
BaseRepresentation
bin11001010111001…
…010110100000000
31002122122211202102
4121113022310000
51332412112000
6110120005532
713354503305
oct3127126400
91078584672
10425504000
111a92054a9
12ba6008a8
136a20101c
14407230ac
15275503d5
hex195cad00

425504000 has 72 divisors (see below), whose sum is σ = 1060063368. Its totient is φ = 170188800.

The previous prime is 425503987. The next prime is 425504003. The reversal of 425504000 is 405524.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 125798656 + 299705344 = 11216^2 + 17312^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425504003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25352 + ... + 38648.

Almost surely, 2425504000 is an apocalyptic number.

425504000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530031684).

425504000 is an abundant number, since it is smaller than the sum of its proper divisors (634559368).

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

425504000 is an equidigital number, since it uses as much as digits as its factorization.

425504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13328 (or 13304 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 425504000 is about 20627.7483017415. The cubic root of 425504000 is about 752.1443815124.

Adding to 425504000 its reverse (405524), we get a palindrome (425909524).

The spelling of 425504000 in words is "four hundred twenty-five million, five hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 3200 4000 6400 8000 13297 16000 26594 32000 53188 66485 106376 132970 212752 265940 332425 425504 531880 664850 851008 1063760 1329700 1662125 1702016 2127520 2659400 3324250 3404032 4255040 5318800 6648500 8510080 10637600 13297000 17020160 21275200 26594000 42550400 53188000 85100800 106376000 212752000 425504000