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405345052 = 2273295441
BaseRepresentation
bin11000001010010…
…001001100011100
31001020201122212201
4120022101030130
51312232020202
6104115541244
713021243000
oct3012211434
91036648781
10405345052
11198896812
12b38ba824
1365c93458
143bb96700
15258bc387
hex1829131c

405345052 has 24 divisors (see below), whose sum is σ = 827237600. Its totient is φ = 173718720.

The previous prime is 405345037. The next prime is 405345089. The reversal of 405345052 is 250543504.

It is a super-2 number, since 2×4053450522 = 328609222361765408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 405345052.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146349 + ... + 149092.

Almost surely, 2405345052 is an apocalyptic number.

It is an amenable number.

405345052 is an abundant number, since it is smaller than the sum of its proper divisors (421892548).

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

405345052 is a wasteful number, since it uses less digits than its factorization.

405345052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295466 (or 295450 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The square root of 405345052 is about 20133.1828581573. The cubic root of 405345052 is about 740.0736790529.

Adding to 405345052 its reverse (250543504), we get a palindrome (655888556).

The spelling of 405345052 in words is "four hundred five million, three hundred forty-five thousand, fifty-two".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 295441 590882 1181764 2068087 4136174 8272348 14476609 28953218 57906436 101336263 202672526 405345052