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2441150464 = 2161932
BaseRepresentation
bin1001000110000001…
…0000000000000000
320022010110021220011
42101200100000000
514444413303324
61042122154304
7114331302514
oct22140200000
96263407804
102441150464
111042a69525
12581652994
132cb99603c
141922d2144
15e44a3c94
hex91810000

2441150464 has 51 divisors (see below), whose sum is σ = 4907691453. Its totient is φ = 1214251008.

The previous prime is 2441150461. The next prime is 2441150477. The reversal of 2441150464 is 4640511442.

The square root of 2441150464 is 49408.

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

It can be written as a sum of positive squares in only one way, i.e., 591462400 + 1849688064 = 24320^2 + 43008^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2441150461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 12648352 + ... + 12648544.

Almost surely, 22441150464 is an apocalyptic number.

2441150464 is the 49408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2441150464

2441150464 is an abundant number, since it is smaller than the sum of its proper divisors (2466540989).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2441150464 is an frugal number, since it uses more digits than its factorization.

2441150464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The cubic root of 2441150464 is about 1346.4746546265.

The spelling of 2441150464 in words is "two billion, four hundred forty-one million, one hundred fifty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 193 256 386 512 772 1024 1544 2048 3088 4096 6176 8192 12352 16384 24704 32768 37249 49408 65536 74498 98816 148996 197632 297992 395264 595984 790528 1191968 1581056 2383936 3162112 4767872 6324224 9535744 12648448 19071488 38142976 76285952 152571904 305143808 610287616 1220575232 2441150464