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405243124 = 2211132273121
BaseRepresentation
bin11000001001111…
…000010011110100
31001020112111001121
4120021320103310
51312220234444
6104113433324
713020336556
oct3011702364
91036474047
10405243124
11198827180
12b386b844
1365c58c40
143bb6b4d6
152589c084
hex182784f4

405243124 has 48 divisors (see below), whose sum is σ = 837095616. Its totient is φ = 169228800.

The previous prime is 405243121. The next prime is 405243151. The reversal of 405243124 is 421342504.

It is a happy number.

It is a super-3 number, since 3×4052431243 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405243121) 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, 128284 + ... + 131404.

It is an arithmetic number, because the mean of its divisors is an integer number (17439492).

Almost surely, 2405243124 is an apocalyptic number.

405243124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

405243124 is an abundant number, since it is smaller than the sum of its proper divisors (431852492).

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

405243124 is a wasteful number, since it uses less digits than its factorization.

405243124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 405243124 is about 20130.6513555821. The cubic root of 405243124 is about 740.0116409174.

Adding to 405243124 its reverse (421342504), we get a palindrome (826585628).

The spelling of 405243124 in words is "four hundred five million, two hundred forty-three thousand, one hundred twenty-four".

Divisors: 1 2 4 11 13 22 26 44 52 143 227 286 454 572 908 2497 2951 3121 4994 5902 6242 9988 11804 12484 32461 34331 40573 64922 68662 81146 129844 137324 162292 446303 708467 892606 1416934 1785212 2833868 7793137 9210071 15586274 18420142 31172548 36840284 101310781 202621562 405243124