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1018950241 = 13722332
BaseRepresentation
bin111100101110111…
…111001001100001
32122000100000221211
4330232333021201
54041322401431
6245035350121
734151635261
oct7456771141
92560300854
101018950241
11483197441
122452b2341
1313314384a
14994817a1
155e6c62b1
hex3cbbf261

1018950241 has 9 divisors (see below), whose sum is σ = 1030866361. Its totient is φ = 1007171392.

The previous prime is 1018950227. The next prime is 1018950269. The reversal of 1018950241 is 1420598101.

It is a happy number.

The square root of 1018950241 is 31921.

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 52983841 + 965966400 = 7279^2 + 31080^2 .

It is not a de Polignac number, because 1018950241 - 27 = 1018950113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1018954241) 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, 4373061 + ... + 4373293.

Almost surely, 21018950241 is an apocalyptic number.

1018950241 is the 31921-st square number.

1018950241 is the 15961-st centered octagonal number.

It is an amenable number.

1018950241 is a deficient number, since it is larger than the sum of its proper divisors (11916120).

1018950241 is an frugal number, since it uses more digits than its factorization.

1018950241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

The cubic root of 1018950241 is about 1006.2772605503.

The spelling of 1018950241 in words is "one billion, eighteen million, nine hundred fifty thousand, two hundred forty-one".

Divisors: 1 137 233 18769 31921 54289 4373177 7437593 1018950241