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4008900973 = 71125389303
BaseRepresentation
bin1110111011110010…
…1111100101101101
3101100101110021021211
43232330233211231
531202234312343
61501444354421
7201226044640
oct35674574555
911311407254
104008900973
111777a13700
1293a6a5a11
134bb719c6c
142a05cda57
15186e3279d
hexeef2f96d

4008900973 has 24 divisors (see below), whose sum is σ = 5131050624. Its totient is φ = 3064844640.

The previous prime is 4008900971. The next prime is 4008901003. The reversal of 4008900973 is 3790098004.

It is not a de Polignac number, because 4008900973 - 21 = 4008900971 is a prime.

It is a super-2 number, since 2×40089009732 = 32142574022640693458, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4008900971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240 + ... + 89542.

It is an arithmetic number, because the mean of its divisors is an integer number (213793776).

Almost surely, 24008900973 is an apocalyptic number.

It is an amenable number.

4008900973 is a deficient number, since it is larger than the sum of its proper divisors (1122149651).

4008900973 is a wasteful number, since it uses less digits than its factorization.

4008900973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89385 (or 89374 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 4008900973 is about 63315.8824703565. The cubic root of 4008900973 is about 1588.5776308332.

Adding to 4008900973 its reverse (3790098004), we get a palindrome (7798998977).

The spelling of 4008900973 in words is "four billion, eight million, nine hundred thousand, nine hundred seventy-three".

Divisors: 1 7 11 53 77 121 371 583 847 4081 6413 44891 89303 625121 982333 4733059 6876331 10805663 33131413 52063649 75639641 364445543 572700139 4008900973