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3872534424 = 2331125158441
BaseRepresentation
bin1110011011010010…
…0010111110011000
3100222212212010112220
43212310202332120
530412332100144
61440133504040
7164651666553
oct34664427630
910885763486
103872534424
111707a43480
12900aa2020
134993b26b5
1428a45369a
15179e97919
hexe6d22f98

3872534424 has 64 divisors (see below), whose sum is σ = 10603716480. Its totient is φ = 1168800000.

The previous prime is 3872534423. The next prime is 3872534437. The reversal of 3872534424 is 4244352783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3872534423) 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, 37044 + ... + 95484.

It is an arithmetic number, because the mean of its divisors is an integer number (165683070).

Almost surely, 23872534424 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 3872534424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5301858240).

3872534424 is an abundant number, since it is smaller than the sum of its proper divisors (6731182056).

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

3872534424 is a wasteful number, since it uses less digits than its factorization.

3872534424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58712 (or 58708 counting only the distinct ones).

The product of its digits is 645120, while the sum is 42.

The square root of 3872534424 is about 62229.6908557322. The cubic root of 3872534424 is about 1570.3571237851.

The spelling of 3872534424 in words is "three billion, eight hundred seventy-two million, five hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 251 264 502 753 1004 1506 2008 2761 3012 5522 6024 8283 11044 16566 22088 33132 58441 66264 116882 175323 233764 350646 467528 642851 701292 1285702 1402584 1928553 2571404 3857106 5142808 7714212 14668691 15428424 29337382 44006073 58674764 88012146 117349528 161355601 176024292 322711202 352048584 484066803 645422404 968133606 1290844808 1936267212 3872534424