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430625468 = 227134725171
BaseRepresentation
bin11001101010101…
…101001010111100
31010000022001002102
4121222231022330
51340220003333
6110421444232
713446153560
oct3152551274
91100261072
10430625468
11201093319
12100270678
136b2a5190
14412976a0
1527c12ae8
hex19aad2bc

430625468 has 48 divisors (see below), whose sum is σ = 947272704. Its totient is φ = 166726080.

The previous prime is 430625449. The next prime is 430625471. The reversal of 430625468 is 864526034.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4523 + ... + 29693.

It is an arithmetic number, because the mean of its divisors is an integer number (19734848).

Almost surely, 2430625468 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 430625468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473636352).

430625468 is an abundant number, since it is smaller than the sum of its proper divisors (516647236).

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

430625468 is a wasteful number, since it uses less digits than its factorization.

430625468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25242 (or 25240 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The square root of 430625468 is about 20751.5172457341. The cubic root of 430625468 is about 755.1500179945.

The spelling of 430625468 in words is "four hundred thirty million, six hundred twenty-five thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 47 52 91 94 182 188 329 364 611 658 1222 1316 2444 4277 8554 17108 25171 50342 100684 176197 327223 352394 654446 704788 1183037 1308892 2290561 2366074 4581122 4732148 8281259 9162244 15379481 16562518 30758962 33125036 61517924 107656367 215312734 430625468