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4024980384 = 253175934159
BaseRepresentation
bin1110111111101000…
…0101001110100000
3101101111201012002120
43233322011032200
531220343333014
61503221144240
7201512524455
oct35772051640
911344635076
104024980384
111785aa6377
12943b5b080
134c1b599c9
142a27b782c
1518855bba9
hexefe853a0

4024980384 has 96 divisors (see below), whose sum is σ = 11208637440. Its totient is φ = 1260306432.

The previous prime is 4024980331. The next prime is 4024980389. The reversal of 4024980384 is 4830894204.

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

It is not an unprimeable number, because it can be changed into a prime (4024980389) 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, 965697 + ... + 969855.

It is an arithmetic number, because the mean of its divisors is an integer number (116756640).

Almost surely, 24024980384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4024980384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5604318720).

4024980384 is an abundant number, since it is smaller than the sum of its proper divisors (7183657056).

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

4024980384 is a wasteful number, since it uses less digits than its factorization.

4024980384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4782 (or 4774 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 4024980384 is about 63442.7331063220. The cubic root of 4024980384 is about 1590.6986874354.

The spelling of 4024980384 in words is "four billion, twenty-four million, nine hundred eighty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 593 816 1186 1632 1779 2372 3558 4159 4744 7116 8318 9488 10081 12477 14232 16636 18976 20162 24954 28464 30243 33272 40324 49908 56928 60486 66544 70703 80648 99816 120972 133088 141406 161296 199632 212109 241944 282812 322592 399264 424218 483888 565624 848436 967776 1131248 1696872 2262496 2466287 3393744 4932574 6787488 7398861 9865148 14797722 19730296 29595444 39460592 41926879 59190888 78921184 83853758 118381776 125780637 167707516 236763552 251561274 335415032 503122548 670830064 1006245096 1341660128 2012490192 4024980384