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405542052 = 22343733829
BaseRepresentation
bin11000001011000…
…001010010100100
31001021002200010000
4120023001102210
51312304321202
6104124101300
713023023226
oct3013012244
91037080100
10405542052
11198a10823
12b3994830
1366032016
143bc08416
152590a91c
hex182c14a4

405542052 has 60 divisors (see below), whose sum is σ = 1088852380. Its totient is φ = 131523264.

The previous prime is 405542051. The next prime is 405542063. The reversal of 405542052 is 250245504.

405542052 is a `hidden beast` number, since 40 + 554 + 20 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 331822656 + 73719396 = 18216^2 + 8586^2 .

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

It is not an unprimeable number, because it can be changed into a prime (405542051) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4927 + ... + 28902.

Almost surely, 2405542052 is an apocalyptic number.

It is an amenable number.

405542052 is an abundant number, since it is smaller than the sum of its proper divisors (683310328).

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

405542052 is a wasteful number, since it uses less digits than its factorization.

405542052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33882 (or 33871 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 405542052 is about 20138.0746845372. The cubic root of 405542052 is about 740.1935529738.

Adding to 405542052 its reverse (250245504), we get a palindrome (655787556).

The spelling of 405542052 in words is "four hundred five million, five hundred forty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3996 5994 11988 33829 67658 101487 135316 202974 304461 405948 608922 913383 1217844 1251673 1826766 2503346 2740149 3653532 3755019 5006692 5480298 7510038 10960596 11265057 15020076 22530114 33795171 45060228 67590342 101385513 135180684 202771026 405542052