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412148480 = 285321991
BaseRepresentation
bin11000100100001…
…110001100000000
31001201112022102112
4120210032030000
51321002222410
6104521434452
713133130032
oct3044161400
91051468375
10412148480
111a1713287
12b603ba28
1367506053
143ca47c52
15262b3105
hex1890e300

412148480 has 36 divisors (see below), whose sum is σ = 987227472. Its totient is φ = 164858880.

The previous prime is 412148467. The next prime is 412148489. The reversal of 412148480 is 84841214.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (412148489) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 159716 + ... + 162275.

Almost surely, 2412148480 is an apocalyptic number.

412148480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412148480 is an abundant number, since it is smaller than the sum of its proper divisors (575078992).

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

412148480 is an equidigital number, since it uses as much as digits as its factorization.

412148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322012 (or 321998 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 412148480 is about 20301.4403429904. The cubic root of 412148480 is about 744.1912638878.

Adding to 412148480 its reverse (84841214), we get a palindrome (496989694).

It can be divided in two parts, 41214 and 8480, that added together give a palindrome (49694).

The spelling of 412148480 in words is "four hundred twelve million, one hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 321991 643982 1287964 1609955 2575928 3219910 5151856 6439820 10303712 12879640 20607424 25759280 41214848 51518560 82429696 103037120 206074240 412148480