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4004024442 = 2311181571587
BaseRepresentation
bin1110111010101000…
…1001000001111010
3101100001021111221120
43232222021001322
531200012240232
61501152050110
7201136434435
oct35652110172
911301244846
104004024442
111775192910
12938b33936
134ba700442
1429dac081c
151867bc92c
hexeea8907a

4004024442 has 64 divisors (see below), whose sum is σ = 8814693888. Its totient is φ = 1202472000.

The previous prime is 4004024429. The next prime is 4004024459. The reversal of 4004024442 is 2444204004.

4004024442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40040244422 = 32064423464266822728, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6820873 + ... + 6821459.

It is an arithmetic number, because the mean of its divisors is an integer number (137729592).

Almost surely, 24004024442 is an apocalyptic number.

4004024442 is an abundant number, since it is smaller than the sum of its proper divisors (4810669446).

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

4004024442 is a wasteful number, since it uses less digits than its factorization.

4004024442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355.

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4004024442 is about 63277.3612123641. The cubic root of 4004024442 is about 1587.9332404833.

Adding to 4004024442 its reverse (2444204004), we get a palindrome (6448228446).

The spelling of 4004024442 in words is "four billion, four million, twenty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 181 362 543 571 587 1086 1142 1174 1713 1761 1991 3426 3522 3982 5973 6281 6457 11946 12562 12914 18843 19371 37686 38742 103351 106247 206702 212494 310053 318741 335177 620106 637482 670354 1005531 1136861 1168717 2011062 2273722 2337434 3410583 3506151 3686947 6821166 7012302 7373894 11060841 22121682 60667037 121334074 182001111 364002222 667337407 1334674814 2002012221 4004024442