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426029312 = 2810116477
BaseRepresentation
bin11001011001001…
…011000100000000
31002200122112100102
4121121023010000
51333030414222
6110135141532
713362121652
oct3131130400
91080575312
10426029312
111a9534145
12ba8148a8
136a356167
144081c6d2
1527605d92
hex1964b100

426029312 has 36 divisors (see below), whose sum is σ = 858866316. Its totient is φ = 210892800.

The previous prime is 426029273. The next prime is 426029339. The reversal of 426029312 is 213920624.

It can be written as a sum of positive squares in 2 ways, for example, as 299151616 + 126877696 = 17296^2 + 11264^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17618 + ... + 34094.

Almost surely, 2426029312 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 426029312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429433158).

426029312 is an abundant number, since it is smaller than the sum of its proper divisors (432837004).

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

426029312 is a wasteful number, since it uses less digits than its factorization.

426029312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16594 (or 16580 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 426029312 is about 20640.4775138561. The cubic root of 426029312 is about 752.4537777299.

Adding to 426029312 its reverse (213920624), we get a palindrome (639949936).

The spelling of 426029312 in words is "four hundred twenty-six million, twenty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 808 1616 3232 6464 12928 16477 25856 32954 65908 131816 263632 527264 1054528 1664177 2109056 3328354 4218112 6656708 13313416 26626832 53253664 106507328 213014656 426029312