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4009275696 = 24383526577
BaseRepresentation
bin1110111011111000…
…1011000100110000
3101100102011022022110
43232332023010300
531202333310241
61501500405320
7201232165266
oct35676130460
911312138273
104009275696
11177814a198
1293a846840
134bb81b6aa
142a068a436
15186ea8816
hexeef8b130

4009275696 has 20 divisors (see below), whose sum is σ = 10357295672. Its totient is φ = 1336425216.

The previous prime is 4009275689. The next prime is 4009275701. The reversal of 4009275696 is 6965729004.

It is a super-3 number, since 3×40092756963 (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 83526577 = 4009275696 / (4 + 0 + 0 + 9 + 2 + 7 + 5 + 6 + 9 + 6).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41763241 + ... + 41763336.

Almost surely, 24009275696 is an apocalyptic number.

It is an amenable number.

4009275696 is an abundant number, since it is smaller than the sum of its proper divisors (6348019976).

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

4009275696 is a wasteful number, since it uses less digits than its factorization.

4009275696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83526588 (or 83526582 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 4009275696 is about 63318.8415560487. The cubic root of 4009275696 is about 1588.6271255312.

The spelling of 4009275696 in words is "four billion, nine million, two hundred seventy-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 83526577 167053154 250579731 334106308 501159462 668212616 1002318924 1336425232 2004637848 4009275696