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426405 = 35731131
BaseRepresentation
bin1101000000110100101
3210122220210
41220012211
5102121110
613050033
73424110
oct1500645
9718823
10426405
11271401
12186919
1311c115
14b1577
1586520
hex681a5

426405 has 32 divisors (see below), whose sum is σ = 811008. Its totient is φ = 187200.

The previous prime is 426401. The next prime is 426407. The reversal of 426405 is 504624.

It is a happy number.

It is not a de Polignac number, because 426405 - 22 = 426401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3190 + ... + 3320.

It is an arithmetic number, because the mean of its divisors is an integer number (25344).

2426405 is an apocalyptic number.

It is an amenable number.

426405 is a deficient number, since it is larger than the sum of its proper divisors (384603).

426405 is a wasteful number, since it uses less digits than its factorization.

426405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 426405 is about 652.9969372057. The cubic root of 426405 is about 75.2674893033.

Adding to 426405 its sum of digits (21), we get a triangular number (426426 = T923).

The spelling of 426405 in words is "four hundred twenty-six thousand, four hundred five".

Divisors: 1 3 5 7 15 21 31 35 93 105 131 155 217 393 465 651 655 917 1085 1965 2751 3255 4061 4585 12183 13755 20305 28427 60915 85281 142135 426405