Search a number
-
+
3872405712 = 243722277253
BaseRepresentation
bin1110011011010000…
…0011100011010000
3100222212121120222210
43212310003203100
530412313440322
61440131032120
7164650622400
oct34664034320
910885546883
103872405712
1117079657aa
12900a3b640
13499368c36
1428a41c800
15179e6e70c
hexe6d038d0

3872405712 has 120 divisors (see below), whose sum is σ = 11689850016. Its totient is φ = 1101375744.

The previous prime is 3872405657. The next prime is 3872405729. The reversal of 3872405712 is 2175042783.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 530278 + ... + 537530.

Almost surely, 23872405712 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 3872405712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5844925008).

3872405712 is an abundant number, since it is smaller than the sum of its proper divisors (7817444304).

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

3872405712 is a wasteful number, since it uses less digits than its factorization.

3872405712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7505 (or 7492 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 3872405712 is about 62228.6566784146. The cubic root of 3872405712 is about 1570.3397255282.

The spelling of 3872405712 in words is "three billion, eight hundred seventy-two million, four hundred five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 227 294 336 392 454 588 681 784 908 1176 1362 1589 1816 2352 2724 3178 3632 4767 5448 6356 7253 9534 10896 11123 12712 14506 19068 21759 22246 25424 29012 33369 38136 43518 44492 50771 58024 66738 76272 87036 88984 101542 116048 133476 152313 174072 177968 203084 266952 304626 348144 355397 406168 533904 609252 710794 812336 1066191 1218504 1421588 1646431 2132382 2437008 2843176 3292862 4264764 4939293 5686352 6585724 8529528 9878586 11525017 13171448 17059056 19757172 23050034 26342896 34575051 39514344 46100068 69150102 79028688 80675119 92200136 138300204 161350238 184400272 242025357 276600408 322700476 484050714 553200816 645400952 968101428 1290801904 1936202856 3872405712