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431389056 = 2737312167
BaseRepresentation
bin11001101101100…
…111100110000000
31010001201211112110
4121231213212000
51340413422211
6110450055320
713455514020
oct3155474600
91101654473
10431389056
11201564a8a
1210057a540
136b4b18c7
1441415a80
1527d13ea6
hex19b67980

431389056 has 192 divisors, whose sum is σ = 1361283840. Its totient is φ = 118563840.

The previous prime is 431389039. The next prime is 431389067. The reversal of 431389056 is 650983134.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4313890562 = 372193035273142272, 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, 2583085 + ... + 2583251.

It is an arithmetic number, because the mean of its divisors is an integer number (7090020).

Almost surely, 2431389056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431389056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680641920).

431389056 is an abundant number, since it is smaller than the sum of its proper divisors (929894784).

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

431389056 is a wasteful number, since it uses less digits than its factorization.

431389056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 431389056 is about 20769.9074624804. The cubic root of 431389056 is about 755.5961001439.

The spelling of 431389056 in words is "four hundred thirty-one million, three hundred eighty-nine thousand, fifty-six".