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4024531104 = 2531131122939
BaseRepresentation
bin1110111111100001…
…0111100010100000
3101101110212100210120
43233320113202200
531220234443404
61503203400240
7201505643556
oct35770274240
911343770716
104024531104
111785819870
12943983080
134c1a30369
142a26dbbd6
151884bd9d9
hexefe178a0

4024531104 has 96 divisors (see below), whose sum is σ = 11896657920. Its totient is φ = 1180204800.

The previous prime is 4024531039. The next prime is 4024531109. The reversal of 4024531104 is 4011354204.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4024531109) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 28734 + ... + 94205.

It is an arithmetic number, because the mean of its divisors is an integer number (123923520).

Almost surely, 24024531104 is an apocalyptic number.

4024531104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4024531104 is an abundant number, since it is smaller than the sum of its proper divisors (7872126816).

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

4024531104 is a wasteful number, since it uses less digits than its factorization.

4024531104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122994 (or 122986 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4024531104 is about 63439.1921764456. The cubic root of 4024531104 is about 1590.6394990973.

Adding to 4024531104 its reverse (4011354204), we get a palindrome (8035885308).

Subtracting from 4024531104 its reverse (4011354204), we obtain a square (13176900 = 36302).

The spelling of 4024531104 in words is "four billion, twenty-four million, five hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 124 132 176 186 248 264 341 352 372 496 528 682 744 992 1023 1056 1364 1488 2046 2728 2976 4092 5456 8184 10912 16368 32736 122939 245878 368817 491756 737634 983512 1352329 1475268 1967024 2704658 2950536 3811109 3934048 4056987 5409316 5901072 7622218 8113974 10818632 11433327 11802144 15244436 16227948 21637264 22866654 30488872 32455896 41922199 43274528 45733308 60977744 64911792 83844398 91466616 121955488 125766597 129823584 167688796 182933232 251533194 335377592 365866464 503066388 670755184 1006132776 1341510368 2012265552 4024531104