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405392641 = 2361288947
BaseRepresentation
bin11000001010011…
…100110100000001
31001020211002011021
4120022130310001
51312240031031
6104120545441
713021531513
oct3012346401
91036732137
10405392641
11198919545
12b3922281
1365cac004
143bba9bb3
15258cb511
hex1829cd01

405392641 has 8 divisors (see below), whose sum is σ = 429954624. Its totient is φ = 381408720.

The previous prime is 405392639. The next prime is 405392657. The reversal of 405392641 is 146293504.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 405392641 - 21 = 405392639 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 405392597 and 405392606.

It is not an unprimeable number, because it can be changed into a prime (405392621) by changing a digit.

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, 143071 + ... + 145876.

It is an arithmetic number, because the mean of its divisors is an integer number (53744328).

Almost surely, 2405392641 is an apocalyptic number.

It is an amenable number.

405392641 is a deficient number, since it is larger than the sum of its proper divisors (24561983).

405392641 is a wasteful number, since it uses less digits than its factorization.

405392641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289031.

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 405392641 is about 20134.3646783304. The cubic root of 405392641 is about 740.1026403769.

The spelling of 405392641 in words is "four hundred five million, three hundred ninety-two thousand, six hundred forty-one".

Divisors: 1 23 61 1403 288947 6645781 17625767 405392641