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4004000253 = 321140444447
BaseRepresentation
bin1110111010101000…
…0011000111111101
3101100001020021202200
43232222003013331
531200011002003
61501151342113
7201136304061
oct35652030775
911301207680
104004000253
111775176720
12938b21939
134ba6c2426
1429dab5aa1
151867b56a3
hexeea831fd

4004000253 has 12 divisors (see below), whose sum is σ = 6309333888. Its totient is φ = 2426666760.

The previous prime is 4004000243. The next prime is 4004000257. The reversal of 4004000253 is 3520004004.

It is a happy number.

It is not a de Polignac number, because 4004000253 - 24 = 4004000237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004000257) 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 11 ways as a sum of consecutive naturals, for example, 20222125 + ... + 20222322.

It is an arithmetic number, because the mean of its divisors is an integer number (525777824).

Almost surely, 24004000253 is an apocalyptic number.

It is an amenable number.

4004000253 is a deficient number, since it is larger than the sum of its proper divisors (2305333635).

4004000253 is a wasteful number, since it uses less digits than its factorization.

4004000253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40444464 (or 40444461 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 4004000253 is about 63277.1700773668. The cubic root of 4004000253 is about 1587.9300428176.

Adding to 4004000253 its reverse (3520004004), we get a palindrome (7524004257).

The spelling of 4004000253 in words is "four billion, four million, two hundred fifty-three", and thus it is an aban number.

Divisors: 1 3 9 11 33 99 40444447 121333341 364000023 444888917 1334666751 4004000253