Search a number
-
+
400809269 = 7224133941
BaseRepresentation
bin10111111000111…
…101110100110101
31000221012012221202
4113320331310311
51310101344034
6103434422245
712634552100
oct2770756465
91027165852
10400809269
11196278a33
12b2291985
1365065a63
143b335737
15252c347e
hex17e3dd35

400809269 has 12 divisors (see below), whose sum is σ = 468195948. Its totient is φ = 342115200.

The previous prime is 400809257. The next prime is 400809281. The reversal of 400809269 is 962908004.

It is an interprime number because it is at equal distance from previous prime (400809257) and next prime (400809281).

It can be written as a sum of positive squares in 2 ways, for example, as 251603044 + 149206225 = 15862^2 + 12215^2 .

It is not a de Polignac number, because 400809269 - 212 = 400805173 is a prime.

It is a super-2 number, since 2×4008092692 = 321296140232628722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400809229) 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 11 ways as a sum of consecutive naturals, for example, 5162 + ... + 28779.

It is an arithmetic number, because the mean of its divisors is an integer number (39016329).

Almost surely, 2400809269 is an apocalyptic number.

400809269 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

400809269 is a deficient number, since it is larger than the sum of its proper divisors (67386679).

400809269 is a wasteful number, since it uses less digits than its factorization.

400809269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34196 (or 34189 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 400809269 is about 20020.2215022711. The cubic root of 400809269 is about 737.3028604170.

The spelling of 400809269 in words is "four hundred million, eight hundred nine thousand, two hundred sixty-nine".

Divisors: 1 7 49 241 1687 11809 33941 237587 1663109 8179781 57258467 400809269