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412541440 = 295161149
BaseRepresentation
bin11000100101101…
…110001000000000
31001202021021110121
4120211232020000
51321102311230
6104534110024
713136354503
oct3045561000
91052237417
10412541440
111a1961543
12b61ab314
1367612b7c
143cb0b13a
152633e77a
hex1896e200

412541440 has 40 divisors (see below), whose sum is σ = 989138700. Its totient is φ = 165015552.

The previous prime is 412541413. The next prime is 412541447. The reversal of 412541440 is 44145214.

It can be written as a sum of positive squares in 2 ways, for example, as 368025856 + 44515584 = 19184^2 + 6672^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (412541447) 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, 78015 + ... + 83134.

Almost surely, 2412541440 is an apocalyptic number.

412541440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412541440 is an abundant number, since it is smaller than the sum of its proper divisors (576597260).

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

412541440 is an equidigital number, since it uses as much as digits as its factorization.

412541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161172 (or 161156 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 412541440 is about 20311.1161682464. The cubic root of 412541440 is about 744.4277033602.

Adding to 412541440 its reverse (44145214), we get a palindrome (456686654).

The spelling of 412541440 in words is "four hundred twelve million, five hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 161149 322298 644596 805745 1289192 1611490 2578384 3222980 5156768 6445960 10313536 12891920 20627072 25783840 41254144 51567680 82508288 103135360 206270720 412541440