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4307428125 = 34557111317
BaseRepresentation
bin1000000001011111…
…00010001100011101
3102010012012000120000
410000233202030131
532310200200000
61551231044513
7211512351330
oct40057421435
912105160500
104307428125
111910481560
12a02670739
13538520550
142cc0dc617
151a3250000
hex100be231d

4307428125 has 480 divisors, whose sum is σ = 11433768192. Its totient is φ = 1555200000.

The previous prime is 4307428093. The next prime is 4307428127. The reversal of 4307428125 is 5218247034.

It is a happy number.

It is not a de Polignac number, because 4307428125 - 25 = 4307428093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4307428125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4307428127) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 253378117 + ... + 253378133.

Almost surely, 24307428125 is an apocalyptic number.

4307428125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4307428125 is an abundant number, since it is smaller than the sum of its proper divisors (7126340067).

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

4307428125 is a wasteful number, since it uses less digits than its factorization.

4307428125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4307428125 is about 65630.9997257394. Note that the first 3 decimals coincide. The cubic root of 4307428125 is about 1627.0691590341.

Adding to 4307428125 its sum of digits (36), we get a square (4307428161 = 656312).

The spelling of 4307428125 in words is "four billion, three hundred seven million, four hundred twenty-eight thousand, one hundred twenty-five".