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7082400649 = 23236592
BaseRepresentation
bin1101001100010010…
…01101101110001001
3200021120210020020011
412212021031232021
5104001043310044
63130440231521
7340336261252
oct64611155611
920246706204
107082400649
113004915485
121457a6b5a1
1388b3c6c1c
144b2889b29
152b6b94134
hex1a624db89

7082400649 has 9 divisors (see below), whose sum is σ = 7405743373. Its totient is φ = 6772618732.

The previous prime is 7082400631. The next prime is 7082400671. The reversal of 7082400649 is 9460042807.

The square root of 7082400649 is 84157.

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

It is not a de Polignac number, because 7082400649 - 29 = 7082400137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7082400629) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1933782 + ... + 1937440.

Almost surely, 27082400649 is an apocalyptic number.

7082400649 is the 84157-th square number.

7082400649 is the 42079-th centered octagonal number.

It is an amenable number.

7082400649 is a deficient number, since it is larger than the sum of its proper divisors (323342724).

7082400649 is an frugal number, since it uses more digits than its factorization.

7082400649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7364 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The cubic root of 7082400649 is about 1920.4079581069.

The spelling of 7082400649 in words is "seven billion, eighty-two million, four hundred thousand, six hundred forty-nine".

Divisors: 1 23 529 3659 84157 1935611 13388281 307930463 7082400649