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431130492 = 22331332379
BaseRepresentation
bin11001101100101…
…000011101111100
31010001020200212000
4121230220131330
51340332133432
6110440342300
713453356132
oct3154503574
91101220760
10431130492
112013a87a1
12100474990
136b421000
1441389752
1527cb257c
hex19b2877c

431130492 has 192 divisors, whose sum is σ = 1279488000. Its totient is φ = 125281728.

The previous prime is 431130467. The next prime is 431130509. The reversal of 431130492 is 294031134.

431130492 is a `hidden beast` number, since 43 + 1 + 130 + 492 = 666.

It is a super-2 number, since 2×4311304922 = 371747002264324128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5457309 + ... + 5457387.

It is an arithmetic number, because the mean of its divisors is an integer number (6664000).

Almost surely, 2431130492 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 431130492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639744000).

431130492 is an abundant number, since it is smaller than the sum of its proper divisors (848357508).

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

431130492 is a wasteful number, since it uses less digits than its factorization.

431130492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 431130492 is about 20763.6820434142. The cubic root of 431130492 is about 755.4451080609.

The spelling of 431130492 in words is "four hundred thirty-one million, one hundred thirty thousand, four hundred ninety-two".