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412821812 = 2213174611013
BaseRepresentation
bin11000100110110…
…010100100110100
31001202210112001202
4120212302210310
51321140244222
6104544112032
713141633064
oct3046624464
91052715052
10412821812
111a2033157
12b6305618
13676b0680
143cb813a4
1526397892
hex189b2934

412821812 has 48 divisors (see below), whose sum is σ = 826377552. Its totient is φ = 178759680.

The previous prime is 412821811. The next prime is 412821817. The reversal of 412821812 is 218128214.

It can be written as a sum of positive squares in 8 ways, for example, as 98327056 + 314494756 = 9916^2 + 17734^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412821811) 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 15 ways as a sum of consecutive naturals, for example, 407018 + ... + 408030.

It is an arithmetic number, because the mean of its divisors is an integer number (17216199).

Almost surely, 2412821812 is an apocalyptic number.

It is an amenable number.

412821812 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

412821812 is a wasteful number, since it uses less digits than its factorization.

412821812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1506 counting only the distinct ones).

The product of its digits is 2048, while the sum is 29.

The square root of 412821812 is about 20318.0169307932. The cubic root of 412821812 is about 744.5963081749.

The spelling of 412821812 in words is "four hundred twelve million, eight hundred twenty-one thousand, eight hundred twelve".

Divisors: 1 2 4 13 17 26 34 52 68 221 442 461 884 922 1013 1844 2026 4052 5993 7837 11986 13169 15674 17221 23972 26338 31348 34442 52676 68884 101881 203762 223873 407524 447746 466993 895492 933986 1867972 6070909 7938881 12141818 15877762 24283636 31755524 103205453 206410906 412821812