Search a number
-
+
428956242 = 231113539433
BaseRepresentation
bin11001100100010…
…101101001010010
31002220011020100020
4121210111221102
51334303044432
6110322004310
713426032201
oct3144255122
91086136306
10428956242
112001531a0
12bb7a6696
136ab3c480
1440d81238
15279d322c
hex19915a52

428956242 has 64 divisors (see below), whose sum is σ = 1027022976. Its totient is φ = 117711360.

The previous prime is 428956211. The next prime is 428956301. The reversal of 428956242 is 242659824.

It is a junction number, because it is equal to n+sod(n) for n = 428956194 and 428956203.

It is an unprimeable number.

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, 40758 + ... + 50190.

It is an arithmetic number, because the mean of its divisors is an integer number (16047234).

Almost surely, 2428956242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428956242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513511488).

428956242 is an abundant number, since it is smaller than the sum of its proper divisors (598066734).

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

428956242 is a wasteful number, since it uses less digits than its factorization.

428956242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9515.

The product of its digits is 276480, while the sum is 42.

The square root of 428956242 is about 20711.2588221962. The cubic root of 428956242 is about 754.1730295906.

The spelling of 428956242 in words is "four hundred twenty-eight million, nine hundred fifty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 53 66 78 106 143 159 286 318 429 583 689 858 1166 1378 1749 2067 3498 4134 7579 9433 15158 18866 22737 28299 45474 56598 103763 122629 207526 245258 311289 367887 499949 622578 735774 999898 1348919 1499847 2697838 2999694 4046757 5499439 6499337 8093514 10998878 12998674 16498317 19498011 32996634 38996022 71492707 142985414 214478121 428956242