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4244652801 = 361921272
BaseRepresentation
bin1111110100000000…
…0100001100000001
3101221211001201000000
43331000010030001
532143112342201
61541105350213
7210120645024
oct37500041401
911854051000
104244652801
111888aa5524
129a5638369
1352851129c
142c3a3b1bb
1519c99ed86
hexfd004301

4244652801 has 63 divisors (see below), whose sum is σ = 6769951281. Its totient is φ = 2659724424.

The previous prime is 4244652799. The next prime is 4244652827. The reversal of 4244652801 is 1082564424.

The square root of 4244652801 is 65151.

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

It is not a de Polignac number, because 4244652801 - 21 = 4244652799 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4244652101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 33422400 + ... + 33422526.

Almost surely, 24244652801 is an apocalyptic number.

4244652801 is the 65151-st square number.

4244652801 is the 32576-th centered octagonal number.

It is an amenable number.

4244652801 is a deficient number, since it is larger than the sum of its proper divisors (2525298480).

4244652801 is an frugal number, since it uses more digits than its factorization.

4244652801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The cubic root of 4244652801 is about 1619.1262881264.

Multiplying 4244652801 by its sum of digits (36), we get a square (152807500836 = 3909062).

The spelling of 4244652801 in words is "four billion, two hundred forty-four million, six hundred fifty-two thousand, eight hundred one".

Divisors: 1 3 9 19 27 57 81 127 171 243 361 381 513 729 1083 1143 1539 2413 3249 3429 4617 7239 9747 10287 13851 16129 21717 29241 30861 45847 48387 65151 87723 92583 137541 145161 195453 263169 306451 412623 435483 586359 919353 1237869 1306449 1759077 2758059 3713607 3919347 5822569 8274177 11140821 11758041 17467707 24822531 33422463 52403121 74467593 157209363 223402779 471628089 1414884267 4244652801