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3875794992 = 2432371814019
BaseRepresentation
bin1110011100000011…
…1111000000110000
3101000002222210012200
43213000333000300
530414200414432
61440331423200
7165021466566
oct34700770060
911002883180
103875794992
111709870163
12901bb4b00
13499c84824
1428aa61a36
1517a3dda7c
hexe703f030

3875794992 has 120 divisors (see below), whose sum is σ = 11204334960. Its totient is φ = 1249758720.

The previous prime is 3875794991. The next prime is 3875794999. The reversal of 3875794992 is 2994975783.

3875794992 is a `hidden beast` number, since 3 + 8 + 75 + 79 + 499 + 2 = 666.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (3875794991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 962359 + ... + 966377.

It is an arithmetic number, because the mean of its divisors is an integer number (93369458).

Almost surely, 23875794992 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 3875794992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5602167480).

3875794992 is an abundant number, since it is smaller than the sum of its proper divisors (7328539968).

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

3875794992 is a wasteful number, since it uses less digits than its factorization.

3875794992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4251 (or 4242 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The square root of 3875794992 is about 62255.8831918719. The cubic root of 3875794992 is about 1570.7977327213.

The spelling of 3875794992 in words is "three billion, eight hundred seventy-five million, seven hundred ninety-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 181 222 296 333 362 444 543 592 666 724 888 1086 1332 1448 1629 1776 2172 2664 2896 3258 4019 4344 5328 6516 6697 8038 8688 12057 13032 13394 16076 20091 24114 26064 26788 32152 36171 40182 48228 53576 60273 64304 72342 80364 96456 107152 120546 144684 148703 160728 192912 241092 289368 297406 321456 446109 482184 578736 594812 727439 892218 964368 1189624 1338327 1454878 1784436 2182317 2379248 2676654 2909756 3568872 4364634 5353308 5819512 6546951 7137744 8729268 10706616 11639024 13093902 17458536 21413232 26187804 26915243 34917072 52375608 53830486 80745729 104751216 107660972 161491458 215321944 242237187 322982916 430643888 484474374 645965832 968948748 1291931664 1937897496 3875794992