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421711026 = 231123379733
BaseRepresentation
bin11001001000101…
…100110010110010
31002101112010202220
4121020230302302
51330424223101
6105502421510
713310325132
oct3110546262
91071463686
10421711026
111a7054810
12b9291896
13694a3769
1440016ac2
1527051636
hex1922ccb2

421711026 has 64 divisors (see below), whose sum is σ = 963947520. Its totient is φ = 121746240.

The previous prime is 421711021. The next prime is 421711033. The reversal of 421711026 is 620117124.

It is a junction number, because it is equal to n+sod(n) for n = 421710987 and 421711005.

It is not an unprimeable number, because it can be changed into a prime (421711021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 574956 + ... + 575688.

It is an arithmetic number, because the mean of its divisors is an integer number (15061680).

Almost surely, 2421711026 is an apocalyptic number.

421711026 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 421711026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481973760).

421711026 is an abundant number, since it is smaller than the sum of its proper divisors (542236494).

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

421711026 is a wasteful number, since it uses less digits than its factorization.

421711026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 421711026 is about 20535.6038625603. The cubic root of 421711026 is about 749.9028176302.

The spelling of 421711026 in words is "four hundred twenty-one million, seven hundred eleven thousand, twenty-six".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 379 506 733 758 759 1137 1466 1518 2199 2274 4169 4398 8063 8338 8717 12507 16126 16859 17434 24189 25014 26151 33718 48378 50577 52302 95887 101154 185449 191774 277807 287661 370898 555614 556347 575322 833421 1112694 1666842 3055877 6111754 6389561 9167631 12779122 18335262 19168683 38337366 70285171 140570342 210855513 421711026