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400898381 = 1397317921
BaseRepresentation
bin10111111001010…
…011100101001101
31000221100202012012
4113321103211031
51310112222011
6103440351005
712635402642
oct2771234515
91027322165
10400898381
11196329984
12b2315465
13650974a0
143b359dc9
15252dea8b
hex17e5394d

400898381 has 8 divisors (see below), whose sum is σ = 436188984. Its totient is φ = 366243840.

The previous prime is 400898371. The next prime is 400898387. The reversal of 400898381 is 183898004.

It can be written as a sum of positive squares in 4 ways, for example, as 24344356 + 376554025 = 4934^2 + 19405^2 .

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 400898381 - 26 = 400898317 is a prime.

It is a super-3 number, since 3×4008983813 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400898387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157700 + ... + 160221.

It is an arithmetic number, because the mean of its divisors is an integer number (54523623).

Almost surely, 2400898381 is an apocalyptic number.

It is an amenable number.

400898381 is a deficient number, since it is larger than the sum of its proper divisors (35290603).

400898381 is a wasteful number, since it uses less digits than its factorization.

400898381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318031.

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 400898381 is about 20022.4469283852. The cubic root of 400898381 is about 737.3574979291.

The spelling of 400898381 in words is "four hundred million, eight hundred ninety-eight thousand, three hundred eighty-one".

Divisors: 1 13 97 1261 317921 4132973 30838337 400898381