Search a number
-
+
420250626 = 233191492749
BaseRepresentation
bin11001000011001…
…000010000000010
31002021202221111000
4121003020100002
51330041010001
6105411232430
713262033325
oct3103102002
91067687430
10420250626
111a6247574
12b88a8716
13690b1b13
143db567bc
1526d63a86
hex190c8402

420250626 has 64 divisors (see below), whose sum is σ = 990000000. Its totient is φ = 131772096.

The previous prime is 420250619. The next prime is 420250627. The reversal of 420250626 is 626052024.

It is a super-2 number, since 2×4202506262 = 353221177306783752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 420250626.

It is not an unprimeable number, because it can be changed into a prime (420250627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151500 + ... + 154248.

It is an arithmetic number, because the mean of its divisors is an integer number (15468750).

Almost surely, 2420250626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420250626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495000000).

420250626 is an abundant number, since it is smaller than the sum of its proper divisors (569749374).

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

420250626 is a wasteful number, since it uses less digits than its factorization.

420250626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2928 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 420250626 is about 20500.0152682870. The cubic root of 420250626 is about 749.0361699060.

The spelling of 420250626 in words is "four hundred twenty million, two hundred fifty thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 149 171 298 342 447 513 894 1026 1341 2682 2749 2831 4023 5498 5662 8046 8247 8493 16494 16986 24741 25479 49482 50958 52231 74223 76437 104462 148446 152874 156693 313386 409601 470079 819202 940158 1228803 1410237 2457606 2820474 3686409 7372818 7782419 11059227 15564838 22118454 23347257 46694514 70041771 140083542 210125313 420250626