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412381450 = 2521329131167
BaseRepresentation
bin11000100101000…
…111000100001010
31001201222011000001
4120211013010022
51321032201300
6104530433214
713135120165
oct3045070412
91051864001
10412381450
111a1862318
12b613280a
13675880c0
143caa8adc
152630c16a
hex1894710a

412381450 has 96 divisors (see below), whose sum is σ = 866194560. Its totient is φ = 145017600.

The previous prime is 412381397. The next prime is 412381457. The reversal of 412381450 is 54183214.

It is a super-3 number, since 3×4123814503 (a number of 27 digits) contains 333 as substring.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (412381457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2469267 + ... + 2469433.

It is an arithmetic number, because the mean of its divisors is an integer number (9022860).

Almost surely, 2412381450 is an apocalyptic number.

412381450 is the 10855-th nonagonal number.

412381450 is an abundant number, since it is smaller than the sum of its proper divisors (453813110).

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

412381450 is a wasteful number, since it uses less digits than its factorization.

412381450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 412381450 is about 20307.1773026189. The cubic root of 412381450 is about 744.3314573621.

The spelling of 412381450 in words is "four hundred twelve million, three hundred eighty-one thousand, four hundred fifty".

Divisors: 1 2 5 10 13 25 26 29 50 58 65 130 131 145 167 262 290 325 334 377 650 655 725 754 835 1310 1450 1670 1703 1885 2171 3275 3406 3770 3799 4175 4342 4843 6550 7598 8350 8515 9425 9686 10855 17030 18850 18995 21710 21877 24215 37990 42575 43754 48430 49387 54275 62959 85150 94975 98774 108550 109385 121075 125918 189950 218770 242150 246935 284401 314795 493870 546925 568802 629590 634433 1093850 1234675 1268866 1422005 1573975 2469350 2844010 3147950 3172165 6344330 7110025 8247629 14220050 15860825 16495258 31721650 41238145 82476290 206190725 412381450