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1438002241 = 13229172
BaseRepresentation
bin101010110110110…
…0010110001000001
310201012212002020021
41111231202301001
510421112032431
6354405213441
750430550234
oct12555426101
93635762207
101438002241
11678795405
12341701281
1319bbc5c00
14d8da541b
158639eb11
hex55b62c41

1438002241 has 9 divisors (see below), whose sum is σ = 1557660681. Its totient is φ = 1326931632.

The previous prime is 1438002197. The next prime is 1438002311. The reversal of 1438002241 is 1422008341.

The square root of 1438002241 is 37921.

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

It can be written as a sum of positive squares in 4 ways, for example, as 176331841 + 1261670400 = 13279^2 + 35520^2 .

It is not a de Polignac number, because 1438002241 - 213 = 1437994049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1438002541) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 491515 + ... + 494431.

It is an arithmetic number, because the mean of its divisors is an integer number (173073409).

Almost surely, 21438002241 is an apocalyptic number.

1438002241 is the 37921-st square number.

1438002241 is the 18961-st centered octagonal number.

It is an amenable number.

1438002241 is a deficient number, since it is larger than the sum of its proper divisors (119658440).

1438002241 is an frugal number, since it uses more digits than its factorization.

1438002241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5860 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The cubic root of 1438002241 is about 1128.7207809781.

Multiplying 1438002241 by its sum of digits (25), we get a square (35950056025 = 1896052).

The spelling of 1438002241 in words is "one billion, four hundred thirty-eight million, two thousand, two hundred forty-one".

Divisors: 1 13 169 2917 37921 492973 8508889 110615557 1438002241