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400107444 = 2231117178301
BaseRepresentation
bin10111110110010…
…010011110110100
31000212212120020020
4113312102132310
51304411414234
6103411405140
712625600002
oct2766223664
91025776206
10400107444
11195939710
12b1bb37b0
1364b7b489
143b1d1a72
15251d5549
hex17d927b4

400107444 has 48 divisors (see below), whose sum is σ = 1078370496. Its totient is φ = 114112000.

The previous prime is 400107431. The next prime is 400107457. The reversal of 400107444 is 444701004.

It is an interprime number because it is at equal distance from previous prime (400107431) and next prime (400107457).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 86907 + ... + 91394.

It is an arithmetic number, because the mean of its divisors is an integer number (22466052).

Almost surely, 2400107444 is an apocalyptic number.

400107444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

400107444 is an abundant number, since it is smaller than the sum of its proper divisors (678263052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400107444 is a wasteful number, since it uses less digits than its factorization.

400107444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178336 (or 178334 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 400107444 is about 20002.6859196459. The cubic root of 400107444 is about 736.8722650022.

Adding to 400107444 its reverse (444701004), we get a palindrome (844808448).

The spelling of 400107444 in words is "four hundred million, one hundred seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 178301 356602 534903 713204 1069806 1961311 2139612 3031117 3922622 5883933 6062234 7845244 9093351 11767866 12124468 18186702 23535732 33342287 36373404 66684574 100026861 133369148 200053722 400107444