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428097541 is a prime number
BaseRepresentation
bin11001100001000…
…100000000000101
31002211112121102111
4121201010000011
51334043110131
6110251341021
713415524534
oct3141040005
91084477374
10428097541
111aa717023
12bb451771
136a8cb671
1440bda31b
15278b3ab1
hex19844005

428097541 has 2 divisors, whose sum is σ = 428097542. Its totient is φ = 428097540.

The previous prime is 428097539. The next prime is 428097547. The reversal of 428097541 is 145790824.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 310288225 + 117809316 = 17615^2 + 10854^2 .

It is a cyclic number.

It is not a de Polignac number, because 428097541 - 21 = 428097539 is a prime.

It is a super-2 number, since 2×4280975412 = 366535009220493362, which contains 22 as substring.

Together with 428097539, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 428097494 and 428097503.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (428097547) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 214048770 + 214048771.

It is an arithmetic number, because the mean of its divisors is an integer number (214048771).

Almost surely, 2428097541 is an apocalyptic number.

It is an amenable number.

428097541 is a deficient number, since it is larger than the sum of its proper divisors (1).

428097541 is an equidigital number, since it uses as much as digits as its factorization.

428097541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 428097541 is about 20690.5181423762. The cubic root of 428097541 is about 753.6694492805.

The spelling of 428097541 in words is "four hundred twenty-eight million, ninety-seven thousand, five hundred forty-one".