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2487914641 = 31216092
BaseRepresentation
bin1001010001001010…
…1001000010010001
320102101110011021201
42110102221002101
520043401232031
61050512351201
7115436632312
oct22422510221
96371404251
102487914641
1110673aa103
12595245501
1330858a654
141985c6609
15e863ed61
hex944a9091

2487914641 has 9 divisors (see below), whose sum is σ = 2572357563. Its totient is φ = 2406162960.

The previous prime is 2487914629. The next prime is 2487914647. The reversal of 2487914641 is 1464197842.

The square root of 2487914641 is 49879.

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., 2432561041 + 55353600 = 49321^2 + 7440^2 .

It is not a de Polignac number, because 2487914641 - 29 = 2487914129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2487914591 and 2487914600.

It is not an unprimeable number, because it can be changed into a prime (2487914647) 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 8 ways as a sum of consecutive naturals, for example, 1545445 + ... + 1547053.

It is an arithmetic number, because the mean of its divisors is an integer number (285817507).

Almost surely, 22487914641 is an apocalyptic number.

2487914641 is the 49879-th square number.

2487914641 is the 24940-th centered octagonal number.

It is an amenable number.

2487914641 is a deficient number, since it is larger than the sum of its proper divisors (84442922).

2487914641 is an frugal number, since it uses more digits than its factorization.

2487914641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280 (or 1640 counting only the distinct ones).

The product of its digits is 387072, while the sum is 46.

The cubic root of 2487914641 is about 1355.0182939847.

The spelling of 2487914641 in words is "two billion, four hundred eighty-seven million, nine hundred fourteen thousand, six hundred forty-one".

Divisors: 1 31 961 1609 49879 1546249 2588881 80255311 2487914641