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7008049040 = 24587600613
BaseRepresentation
bin1101000011011011…
…00101011110010000
3200002101212202222212
412201231211132100
5103323030032130
63115222451252
7335444301566
oct64155453620
920071782885
107008049040
112a76951a73
121436b93b28
13878b937a5
144a6a53a36
152b03a8e95
hex1a1b65790

7008049040 has 20 divisors (see below), whose sum is σ = 16293714204. Its totient is φ = 2803219584.

The previous prime is 7008049031. The next prime is 7008049057. The reversal of 7008049040 is 409408007.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1673791744 + 5334257296 = 40912^2 + 73036^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×70080490402 = 98225502694089843200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7008048988 and 7008049006.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43800227 + ... + 43800386.

Almost surely, 27008049040 is an apocalyptic number.

It is an amenable number.

7008049040 is an abundant number, since it is smaller than the sum of its proper divisors (9285665164).

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

7008049040 is a wasteful number, since it uses less digits than its factorization.

7008049040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87600626 (or 87600620 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 7008049040 is about 83714.0910480428. The cubic root of 7008049040 is about 1913.6641047627.

The spelling of 7008049040 in words is "seven billion, eight million, forty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 87600613 175201226 350402452 438003065 700804904 876006130 1401609808 1752012260 3504024520 7008049040