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425415240 = 233851621
BaseRepresentation
bin11001010110110…
…101001001001000
31002122111100000000
4121112311021020
51332401241430
6110114043000
713353653445
oct3126651110
91078440000
10425415240
111a9154848
12ba579460
136a19c7c3
14406dc9cc
1527533e60
hex195b5248

425415240 has 144 divisors (see below), whose sum is σ = 1436589180. Its totient is φ = 113374080.

The previous prime is 425415229. The next prime is 425415241. The reversal of 425415240 is 42514524.

425415240 is a `hidden beast` number, since 4 + 2 + 5 + 415 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 423289476 + 2125764 = 20574^2 + 1458^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (425415241) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 261630 + ... + 263250.

Almost surely, 2425415240 is an apocalyptic number.

425415240 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 425415240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718294590).

425415240 is an abundant number, since it is smaller than the sum of its proper divisors (1011173940).

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

425415240 is an equidigital number, since it uses as much as digits as its factorization.

425415240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 425415240 is about 20625.5967186407. The cubic root of 425415240 is about 752.0920788487.

Adding to 425415240 its reverse (42514524), we get a palindrome (467929764).

The spelling of 425415240 in words is "four hundred twenty-five million, four hundred fifteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1621 1944 2187 2430 2916 3240 3242 3645 4374 4860 4863 5832 6484 6561 7290 8105 8748 9720 9726 10935 12968 13122 14580 14589 16210 17496 19452 21870 24315 26244 29160 29178 32420 32805 38904 43740 43767 48630 52488 58356 64840 65610 72945 87480 87534 97260 116712 131220 131301 145890 175068 194520 218835 262440 262602 291780 350136 393903 437670 525204 583560 656505 787806 875340 1050408 1181709 1313010 1575612 1750680 1969515 2363418 2626020 3151224 3545127 3939030 4726836 5252040 5908545 7090254 7878060 9453672 10635381 11817090 14180508 15756120 17725635 21270762 23634180 28361016 35451270 42541524 47268360 53176905 70902540 85083048 106353810 141805080 212707620 425415240