Search a number
-
+
431426436 = 223741125269
BaseRepresentation
bin11001101101110…
…000101110000100
31010001210201210220
4121231300232010
51340421121221
6110450544340
713456031010
oct3155605604
91101721726
10431426436
11201590081
121005980b0
136b4c591c
1441425540
1527d200c6
hex19b70b84

431426436 has 48 divisors (see below), whose sum is σ = 1178540160. Its totient is φ = 120257280.

The previous prime is 431426431. The next prime is 431426453. The reversal of 431426436 is 634624134.

It is a super-2 number, since 2×4314264362 = 372257539359324192, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 431426397 and 431426406.

It is not an unprimeable number, because it can be changed into a prime (431426431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59191 + ... + 66078.

It is an arithmetic number, because the mean of its divisors is an integer number (24552920).

Almost surely, 2431426436 is an apocalyptic number.

It is an amenable number.

431426436 is an abundant number, since it is smaller than the sum of its proper divisors (747113724).

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

431426436 is a wasteful number, since it uses less digits than its factorization.

431426436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125324 (or 125322 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 431426436 is about 20770.8073025581. The cubic root of 431426436 is about 755.6179237283.

The spelling of 431426436 in words is "four hundred thirty-one million, four hundred twenty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1722 3444 125269 250538 375807 501076 751614 876883 1503228 1753766 2630649 3507532 5136029 5261298 10272058 10522596 15408087 20544116 30816174 35952203 61632348 71904406 107856609 143808812 215713218 431426436