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405236412 = 223371731531
BaseRepresentation
bin11000001001110…
…110101010111100
31001020112010212000
4120021312222330
51312220031122
6104113342300
713020311160
oct3011665274
91036463760
10405236412
11198822129
12b3867990
1365c55b79
143bb68ca0
152589a0ac
hex18276abc

405236412 has 96 divisors (see below), whose sum is σ = 1271370240. Its totient is φ = 108967680.

The previous prime is 405236407. The next prime is 405236423. The reversal of 405236412 is 214632504.

It is a super-2 number, since 2×4052364122 = 328433099221267488, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2914 + ... + 28617.

It is an arithmetic number, because the mean of its divisors is an integer number (13243440).

Almost surely, 2405236412 is an apocalyptic number.

405236412 is a gapful number since it is divisible by the number (42) 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 405236412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635685120).

405236412 is an abundant number, since it is smaller than the sum of its proper divisors (866133828).

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

405236412 is a wasteful number, since it uses less digits than its factorization.

405236412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31568 (or 31560 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 405236412 is about 20130.4846439424. The cubic root of 405236412 is about 740.0075553161.

Adding to 405236412 its reverse (214632504), we get a palindrome (619868916).

The spelling of 405236412 in words is "four hundred five million, two hundred thirty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 84 102 108 119 126 153 189 204 238 252 306 357 378 459 476 612 714 756 918 1071 1428 1836 2142 3213 4284 6426 12852 31531 63062 94593 126124 189186 220717 283779 378372 441434 536027 567558 662151 851337 882868 1072054 1135116 1324302 1608081 1702674 1986453 2144108 2648604 3216162 3405348 3752189 3972906 4824243 5959359 6432324 7504378 7945812 9648486 11256567 11918718 14472729 15008756 19296972 22513134 23837436 28945458 33769701 45026268 57890916 67539402 101309103 135078804 202618206 405236412