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406258381 = 4115763113
BaseRepresentation
bin11000001101110…
…000001011001101
31001022110001201201
4120031300023031
51313000232011
6104151305501
713032065524
oct3015601315
91038401651
10406258381
1119935aa31
12b407b291
1366223099
143bd534bb
15259eccc1
hex183702cd

406258381 has 8 divisors (see below), whose sum is σ = 418824504. Its totient is φ = 393818880.

The previous prime is 406258373. The next prime is 406258387. The reversal of 406258381 is 183852604.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21706281 + 384552100 = 4659^2 + 19610^2 .

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 406258381 - 23 = 406258373 is a prime.

It is a super-2 number, since 2×4062583812 = 330091744265482322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 406258381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406258387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25120 + ... + 37993.

It is an arithmetic number, because the mean of its divisors is an integer number (52353063).

Almost surely, 2406258381 is an apocalyptic number.

406258381 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

406258381 is a deficient number, since it is larger than the sum of its proper divisors (12566123).

406258381 is a wasteful number, since it uses less digits than its factorization.

406258381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63311.

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 406258381 is about 20155.8522766962. The cubic root of 406258381 is about 740.6291101293.

The spelling of 406258381 in words is "four hundred six million, two hundred fifty-eight thousand, three hundred eighty-one".

Divisors: 1 41 157 6437 63113 2587633 9908741 406258381