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401457 = 3722731
BaseRepresentation
bin1100010000000110001
3202101200210
41202000301
5100321312
612334333
73261300
oct1420061
9671623
10401457
11254691
121743a9
13110964
14a6437
157de3c
hex62031

401457 has 12 divisors (see below), whose sum is σ = 622896. Its totient is φ = 229320.

The previous prime is 401417. The next prime is 401473. The reversal of 401457 is 754104.

It is not a de Polignac number, because 401457 - 26 = 401393 is a prime.

It is a super-2 number, since 2×4014572 = 322335445698, which contains 22 as substring.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 401457.

It is not an unprimeable number, because it can be changed into a prime (401407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1219 + ... + 1512.

It is an arithmetic number, because the mean of its divisors is an integer number (51908).

2401457 is an apocalyptic number.

It is an amenable number.

401457 is a deficient number, since it is larger than the sum of its proper divisors (221439).

401457 is a wasteful number, since it uses less digits than its factorization.

401457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 401457 is about 633.6063446652. The cubic root of 401457 is about 73.7699821369.

It can be divided in two parts, 401 and 457, that added together give a palindrome (858).

The spelling of 401457 in words is "four hundred one thousand, four hundred fifty-seven".

Divisors: 1 3 7 21 49 147 2731 8193 19117 57351 133819 401457