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4004407420 = 2251315401567
BaseRepresentation
bin1110111010101110…
…0110100001111100
3101100001222222021221
43232223212201330
531200112014140
61501204203124
7201142621126
oct35653464174
911301888257
104004407420
111775424622
129390994a4
134ba805860
1429db80216
1518684614a
hexeeae687c

4004407420 has 24 divisors (see below), whose sum is σ = 9056121984. Its totient is φ = 1478550336.

The previous prime is 4004407397. The next prime is 4004407427. The reversal of 4004407420 is 247044004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004407427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7700524 + ... + 7701043.

It is an arithmetic number, because the mean of its divisors is an integer number (377338416).

Almost surely, 24004407420 is an apocalyptic number.

It is an amenable number.

4004407420 is an abundant number, since it is smaller than the sum of its proper divisors (5051714564).

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

4004407420 is a wasteful number, since it uses less digits than its factorization.

4004407420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15401589 (or 15401587 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 25.

The square root of 4004407420 is about 63280.3873249840. The cubic root of 4004407420 is about 1587.9838665569.

The spelling of 4004407420 in words is "four billion, four million, four hundred seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 15401567 30803134 61606268 77007835 154015670 200220371 308031340 400440742 800881484 1001101855 2002203710 4004407420