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431027046 = 232191399067
BaseRepresentation
bin11001101100001…
…111001101100110
31010001001102221200
4121230033031212
51340320331141
6110434223330
713452445422
oct3154171546
91101042850
10431027046
11201337aaa
12100424b46
136b3b5bb8
144135db82
1527c91ab6
hex19b0f366

431027046 has 48 divisors (see below), whose sum is σ = 990225600. Its totient is φ = 135119664.

The previous prime is 431027033. The next prime is 431027053. The reversal of 431027046 is 640720134.

It is a super-2 number, since 2×4310270462 = 371568628766972232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43005 + ... + 52071.

It is an arithmetic number, because the mean of its divisors is an integer number (20629700).

Almost surely, 2431027046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431027046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495112800).

431027046 is an abundant number, since it is smaller than the sum of its proper divisors (559198554).

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

431027046 is a wasteful number, since it uses less digits than its factorization.

431027046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9233 (or 9230 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 431027046 is about 20761.1908617979. The cubic root of 431027046 is about 755.3846824070.

The spelling of 431027046 in words is "four hundred thirty-one million, twenty-seven thousand, forty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 139 171 278 342 417 834 1251 2502 2641 5282 7923 9067 15846 18134 23769 27201 47538 54402 81603 163206 172273 344546 516819 1033638 1260313 1550457 2520626 3100914 3780939 7561878 11342817 22685634 23945947 47891894 71837841 143675682 215513523 431027046