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2488712769 = 342322412
BaseRepresentation
bin1001010001010110…
…1011111001000001
320102102221201010000
42110111223321001
520044102302034
61050541430213
7115446465234
oct22425537101
96372851100
102488712769
1110678a4814
1259556b369
133087a9a0a
1419875341b
15e874b599
hex9456be41

2488712769 has 45 divisors (see below), whose sum is σ = 3902566899. Its totient is φ = 1580420160.

The previous prime is 2488712761. The next prime is 2488712783. The reversal of 2488712769 is 9672178842.

It is a happy number.

The square root of 2488712769 is 49887.

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., 1871687169 + 617025600 = 43263^2 + 24840^2 .

It is not a de Polignac number, because 2488712769 - 23 = 2488712761 is a prime.

It is a super-2 number, since 2×24887127692 = 12387382493167294722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2488712761) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10326489 + ... + 10326729.

Almost surely, 22488712769 is an apocalyptic number.

2488712769 is the 49887-th square number.

2488712769 is the 24944-th centered octagonal number.

It is an amenable number.

2488712769 is a deficient number, since it is larger than the sum of its proper divisors (1413854130).

2488712769 is an frugal number, since it uses more digits than its factorization.

2488712769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 267 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The cubic root of 2488712769 is about 1355.1631760205.

The spelling of 2488712769 in words is "two billion, four hundred eighty-eight million, seven hundred twelve thousand, seven hundred sixty-nine".

Divisors: 1 3 9 23 27 69 81 207 241 529 621 723 1587 1863 2169 4761 5543 6507 14283 16629 19521 42849 49887 58081 127489 149661 174243 382467 448983 522729 1147401 1335863 1568187 3442203 4007589 4704561 10326609 12022767 30724849 36068301 92174547 108204903 276523641 829570923 2488712769