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2542277241 = 32710
BaseRepresentation
bin1001011110001000…
…0001001001111001
320120011202001202100
42113202001021321
520201310332431
61100133454013
7120000000000
oct22742011171
96504661670
102542277241
11109505a579
125ab4a1309
1331691267a
141a18d7c37
15ed2cc4e6
hex97881279

2542277241 has 33 divisors (see below), whose sum is σ = 4284207941. Its totient is φ = 1452729852.

The previous prime is 2542277183. The next prime is 2542277263. The reversal of 2542277241 is 1427722452.

The square root of 2542277241 is 50421.

It is a perfect power (a square), and thus also a powerful number.

2542277241 is a `hidden beast` number, since 2 + 542 + 2 + 7 + 72 + 41 = 666.

It is not a de Polignac number, because 2542277241 - 211 = 2542275193 is a prime.

It is a Duffinian number.

Its product of digits (62720) is a multiple of the sum of its prime divisors (10).

It is a junction number, because it is equal to n+sod(n) for n = 2542277196 and 2542277205.

It is not an unprimeable number, because it can be changed into a prime (2542277281) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 363182460 + ... + 363182466.

Almost surely, 22542277241 is an apocalyptic number.

2542277241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2542277241 is the 50421-st square number.

2542277241 is the 25211-st centered octagonal number.

It is an amenable number.

2542277241 is a deficient number, since it is larger than the sum of its proper divisors (1741930700).

2542277241 is an frugal number, since it uses more digits than its factorization.

2542277241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 10 counting only the distinct ones).

The product of its digits is 62720, while the sum is 36.

The cubic root of 2542277241 is about 1364.8166223085.

Multiplying 2542277241 by its sum of digits (36), we get a square (91521980676 = 3025262).

Adding to 2542277241 its reverse (1427722452), we get a palindrome (3969999693).

The spelling of 2542277241 in words is "two billion, five hundred forty-two million, two hundred seventy-seven thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 343 441 1029 2401 3087 7203 16807 21609 50421 117649 151263 352947 823543 1058841 2470629 5764801 7411887 17294403 40353607 51883209 121060821 282475249 363182463 847425747 2542277241