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405435042 = 23241115479
BaseRepresentation
bin11000001010100…
…111001010100010
31001020220020022200
4120022213022202
51312242410132
6104121514030
713022066235
oct3012471242
91036806280
10405435042
11198948391
12b3942916
1365cc53bc
143bbbb41c
15258d8d7c
hex182a72a2

405435042 has 24 divisors (see below), whose sum is σ = 878816640. Its totient is φ = 135087480.

The previous prime is 405435013. The next prime is 405435067. The reversal of 405435042 is 240534504.

It is a junction number, because it is equal to n+sod(n) for n = 405434997 and 405435015.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71259 + ... + 76737.

It is an arithmetic number, because the mean of its divisors is an integer number (36617360).

Almost surely, 2405435042 is an apocalyptic number.

405435042 is an abundant number, since it is smaller than the sum of its proper divisors (473381598).

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

405435042 is a wasteful number, since it uses less digits than its factorization.

405435042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9598 (or 9595 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 405435042 is about 20135.4176018279. The cubic root of 405435042 is about 740.1284425210.

Adding to 405435042 its reverse (240534504), we get a palindrome (645969546).

The spelling of 405435042 in words is "four hundred five million, four hundred thirty-five thousand, forty-two".

Divisors: 1 2 3 6 9 18 4111 5479 8222 10958 12333 16437 24666 32874 36999 49311 73998 98622 22524169 45048338 67572507 135145014 202717521 405435042