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401038245 = 325172918077
BaseRepresentation
bin10111111001110…
…101101110100101
31000221121212001100
4113321311232211
51310131210440
6103443350313
712636524466
oct2771655645
91027555040
10401038245
11196414a73
12b2382399
136511604a
143b394d6d
152531b230
hex17e75ba5

401038245 has 48 divisors (see below), whose sum is σ = 761445360. Its totient is φ = 194353152.

The previous prime is 401038241. The next prime is 401038259. The reversal of 401038245 is 542830104.

It can be written as a sum of positive squares in 8 ways, for example, as 60746436 + 340291809 = 7794^2 + 18447^2 .

It is not a de Polignac number, because 401038245 - 22 = 401038241 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401038241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13147 + ... + 31223.

It is an arithmetic number, because the mean of its divisors is an integer number (15863445).

Almost surely, 2401038245 is an apocalyptic number.

401038245 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

401038245 is a deficient number, since it is larger than the sum of its proper divisors (360407115).

401038245 is a wasteful number, since it uses less digits than its factorization.

401038245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18134 (or 18131 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 401038245 is about 20025.9393038129. The cubic root of 401038245 is about 737.4432368454.

Adding to 401038245 its reverse (542830104), we get a palindrome (943868349).

The spelling of 401038245 in words is "four hundred one million, thirty-eight thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 17 29 45 51 85 87 145 153 255 261 435 493 765 1305 1479 2465 4437 7395 18077 22185 54231 90385 162693 271155 307309 524233 813465 921927 1536545 1572699 2621165 2765781 4609635 4718097 7863495 8911961 13828905 23590485 26735883 44559805 80207649 133679415 401038245