Search a number
-
+
424256250 = 235511317
BaseRepresentation
bin11001010010011…
…010001011111010
31002120022110011110
4121102122023322
51332102200000
6110033141150
713341055455
oct3122321372
91076273143
10424256250
111a8533000
12ba0ba7b6
1369b85102
14404ba49c
15273a5850
hex1949a2fa

424256250 has 192 divisors, whose sum is σ = 1235170944. Its totient is φ = 96800000.

The previous prime is 424256249. The next prime is 424256251. The reversal of 424256250 is 52652424.

424256250 = 3482 + 3492 + ... + 10952.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (424256249) and next prime (424256251).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424256251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24956242 + ... + 24956258.

It is an arithmetic number, because the mean of its divisors is an integer number (6433182).

Almost surely, 2424256250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424256250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617585472).

424256250 is an abundant number, since it is smaller than the sum of its proper divisors (810914694).

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

424256250 is an equidigital number, since it uses as much as digits as its factorization.

424256250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 424256250 is about 20597.4816421814. The cubic root of 424256250 is about 751.4084644260.

The spelling of 424256250 in words is "four hundred twenty-four million, two hundred fifty-six thousand, two hundred fifty".