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400422144 = 283598837
BaseRepresentation
bin10111110111011…
…111010100000000
31000220110112220210
4113313133110000
51310002002034
6103422234120
712631350333
oct2767372400
91026415823
10400422144
111960340a1
12b2125940
1364c5b7a5
143b27461a
15252488e9
hex17ddf500

400422144 has 72 divisors (see below), whose sum is σ = 1083892320. Its totient is φ = 131196928.

The previous prime is 400422091. The next prime is 400422151. The reversal of 400422144 is 441224004.

It is a self number, because there is not a number n which added to its sum of digits gives 400422144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40894 + ... + 49730.

It is an arithmetic number, because the mean of its divisors is an integer number (15054060).

Almost surely, 2400422144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541946160).

400422144 is an abundant number, since it is smaller than the sum of its proper divisors (683470176).

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

400422144 is an equidigital number, since it uses as much as digits as its factorization.

400422144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8915 (or 8901 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 400422144 is about 20010.5508170065. The cubic root of 400422144 is about 737.0654072310.

Adding to 400422144 its reverse (441224004), we get a palindrome (841646148).

The spelling of 400422144 in words is "four hundred million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 354 384 472 708 768 944 1416 1888 2832 3776 5664 7552 8837 11328 15104 17674 22656 26511 35348 45312 53022 70696 106044 141392 212088 282784 424176 521383 565568 848352 1042766 1131136 1564149 1696704 2085532 2262272 3128298 3393408 4171064 6256596 6786816 8342128 12513192 16684256 25026384 33368512 50052768 66737024 100105536 133474048 200211072 400422144