Search a number
-
+
2556435401 = 131721375413
BaseRepresentation
bin1001100001100000…
…0001101111001001
320121011101101002122
42120120001233021
520213421413101
61101401141025
7120231225302
oct23030015711
96534341078
102556435401
1110a204a833
125b418a775
1331982ba90
141a37417a9
15ee67751b
hex98601bc9

2556435401 has 16 divisors (see below), whose sum is σ = 2916933264. Its totient is φ = 2219526144.

The previous prime is 2556435379. The next prime is 2556435457. The reversal of 2556435401 is 1045346552.

It can be written as a sum of positive squares in 8 ways, for example, as 551545225 + 2004890176 = 23485^2 + 44776^2 .

It is a cyclic number.

It is not a de Polignac number, because 2556435401 - 226 = 2489326537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2556435601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469571 + ... + 474983.

It is an arithmetic number, because the mean of its divisors is an integer number (182308329).

Almost surely, 22556435401 is an apocalyptic number.

It is an amenable number.

2556435401 is a deficient number, since it is larger than the sum of its proper divisors (360497863).

2556435401 is a wasteful number, since it uses less digits than its factorization.

2556435401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7580.

The product of its (nonzero) digits is 72000, while the sum is 35.

The square root of 2556435401 is about 50561.2045050353. The cubic root of 2556435401 is about 1367.3455271484.

The spelling of 2556435401 in words is "two billion, five hundred fifty-six million, four hundred thirty-five thousand, four hundred one".

Divisors: 1 13 17 221 2137 5413 27781 36329 70369 92021 472277 1196273 11567581 150378553 196648877 2556435401