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4079504641 = 23227772
BaseRepresentation
bin1111001100101000…
…0100110100000001
3101112022022022022111
43303022010310001
531323323122031
61512445535321
7203044134352
oct36312046401
911468268274
104079504641
111803857243
1295a274541
1350023a494
142a9b2bd29
1518d22c1b1
hexf3284d01

4079504641 has 9 divisors (see below), whose sum is σ = 4266122371. Its totient is φ = 3900729712.

The previous prime is 4079504629. The next prime is 4079504677. The reversal of 4079504641 is 1464059704.

The square root of 4079504641 is 63871.

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., 634284225 + 3445220416 = 25185^2 + 58696^2 .

It is not a de Polignac number, because 4079504641 - 25 = 4079504609 is a prime.

It is a super-3 number, since 3×40795046413 (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4079504594 and 4079504603.

It is not an unprimeable number, because it can be changed into a prime (4079504941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1467645 + ... + 1470421.

Almost surely, 24079504641 is an apocalyptic number.

4079504641 is the 63871-st square number.

4079504641 is the 31936-th centered octagonal number.

It is an amenable number.

4079504641 is a deficient number, since it is larger than the sum of its proper divisors (186617730).

4079504641 is an frugal number, since it uses more digits than its factorization.

4079504641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5600 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The cubic root of 4079504641 is about 1597.8492770866.

The spelling of 4079504641 in words is "four billion, seventy-nine million, five hundred four thousand, six hundred forty-one".

Divisors: 1 23 529 2777 63871 1469033 7711729 177369767 4079504641