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428015741 = 3728574049
BaseRepresentation
bin11001100000110…
…000000001111101
31002211101110012212
4121200300001331
51334033000431
6110245510205
713415034206
oct3140600175
91084343185
10428015741
111aa67061a
12bb412365
136a8a036a
1440bb85ad
152789972b
hex1983007d

428015741 has 8 divisors (see below), whose sum is σ = 439846200. Its totient is φ = 416199168.

The previous prime is 428015713. The next prime is 428015747. The reversal of 428015741 is 147510824.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 126472516 + 301543225 = 11246^2 + 17365^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-428015741 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 428015698 and 428015707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428015747) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103685 + ... + 107733.

It is an arithmetic number, because the mean of its divisors is an integer number (54980775).

Almost surely, 2428015741 is an apocalyptic number.

It is an amenable number.

428015741 is a deficient number, since it is larger than the sum of its proper divisors (11830459).

428015741 is a wasteful number, since it uses less digits than its factorization.

428015741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6943.

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 428015741 is about 20688.5412970562. The cubic root of 428015741 is about 753.6214430186.

The spelling of 428015741 in words is "four hundred twenty-eight million, fifteen thousand, seven hundred forty-one".

Divisors: 1 37 2857 4049 105709 149813 11567993 428015741