Search a number
-
+
5428397601 = 3311235913469
BaseRepresentation
bin1010000111000111…
…01100011000100001
3112000022111011121000
411003203230120201
542104132210401
62254353222213
7251343422034
oct50343543041
915008434530
105428397601
112336209510
121075b61969
136868339b3
14396d3901b
1521b879186
hex1438ec621

5428397601 has 64 divisors (see below), whose sum is σ = 9310464000. Its totient is φ = 3093330240.

The previous prime is 5428397591. The next prime is 5428397627. The reversal of 5428397601 is 1067938245.

5428397601 is a `hidden beast` number, since 5 + 4 + 2 + 8 + 39 + 7 + 601 = 666.

5428397601 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5428397601 - 26 = 5428397537 is a prime.

5428397601 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (5428397101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 396295 + ... + 409763.

It is an arithmetic number, because the mean of its divisors is an integer number (145476000).

It is a 1-persistent number, because it is pandigital, but 2⋅5428397601 = 10856795202 is not.

Almost surely, 25428397601 is an apocalyptic number.

It is an amenable number.

5428397601 is a deficient number, since it is larger than the sum of its proper divisors (3882066399).

5428397601 is a wasteful number, since it uses less digits than its factorization.

5428397601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13571 (or 13565 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5428397601 is about 73677.6601216407. The cubic root of 5428397601 is about 1757.4806413507.

The spelling of 5428397601 in words is "five billion, four hundred twenty-eight million, three hundred ninety-seven thousand, six hundred one".

Divisors: 1 3 9 11 23 27 33 59 69 99 177 207 253 297 531 621 649 759 1357 1593 1947 2277 4071 5841 6831 12213 13469 14927 17523 36639 40407 44781 121221 134343 148159 309787 363663 403029 444477 794671 929361 1333431 2384013 2788083 3407657 4000293 7152039 8364249 8741381 10222971 18277433 21456117 26224143 30668913 54832299 78672429 92006739 164496897 201051763 236017287 493490691 603155289 1809465867 5428397601