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2489462641 = 41172135281
BaseRepresentation
bin1001010001100010…
…0010111101110001
320102111100210202001
42110120202331301
520044300301031
61051005454001
7115456040401
oct22430427561
96374323661
102489462641
111068267146
12595871301
133089b0123
141988aa801
15e8848861
hex94622f71

2489462641 has 8 divisors (see below), whose sum is σ = 2551735368. Its totient is φ = 2427264000.

The previous prime is 2489462627. The next prime is 2489462687. The reversal of 2489462641 is 1462649842.

2489462641 is a nontrivial binomial coefficient, being equal to C(70562, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 10916416 + 2478546225 = 3304^2 + 49785^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(2489462641) divides (2489462641-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 2489462641 - 27 = 2489462513 is a prime.

It is a deceptive number, since it divides R2489462640.

It is a junction number, because it is equal to n+sod(n) for n = 2489462591 and 2489462600.

It is not an unprimeable number, because it can be changed into a prime (2489462621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52921 + ... + 88201.

It is an arithmetic number, because the mean of its divisors is an integer number (318966921).

It is a Poulet number, since it divides 22489462640-1.

Almost surely, 22489462641 is an apocalyptic number.

2489462641 is the 70561-st triangular number and also the 35281-st hexagonal number.

2489462641 is the 23521-st centered nonagonal number.

It is an amenable number.

2489462641 is a deficient number, since it is larger than the sum of its proper divisors (62272727).

2489462641 is a wasteful number, since it uses less digits than its factorization.

2489462641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37043.

The product of its digits is 663552, while the sum is 46.

The square root of 2489462641 is about 49894.5151394419. The cubic root of 2489462641 is about 1355.2992700538.

It can be divided in two parts, 2489 and 462641, that added together give a triangular number (465130 = T964).

The spelling of 2489462641 in words is "two billion, four hundred eighty-nine million, four hundred sixty-two thousand, six hundred forty-one".

Divisors: 1 41 1721 35281 70561 1446521 60718601 2489462641