Search a number
-
+
3771371052 = 22321713147041
BaseRepresentation
bin1110000011001010…
…1000111000101100
3100201211111111111100
43200302220320230
530210432333202
61422121323100
7162313060611
oct34062507054
910654444440
103771371052
111665927989
12893036490
13481452507
1427ac3c508
1517116341c
hexe0ca8e2c

3771371052 has 72 divisors (see below), whose sum is σ = 10171233072. Its totient is φ = 1174118400.

The previous prime is 3771371027. The next prime is 3771371053. The reversal of 3771371052 is 2501731773.

It is a super-2 number, since 2×37713710522 = 28446479223727173408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3771370998 and 3771371016.

It is not an unprimeable number, because it can be changed into a prime (3771371053) 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, 56652 + ... + 103692.

It is an arithmetic number, because the mean of its divisors is an integer number (141267126).

Almost surely, 23771371052 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 3771371052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5085616536).

3771371052 is an abundant number, since it is smaller than the sum of its proper divisors (6399862020).

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

3771371052 is a wasteful number, since it uses less digits than its factorization.

3771371052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47199 (or 47194 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The square root of 3771371052 is about 61411.4895764628. The cubic root of 3771371052 is about 1556.5619898422.

The spelling of 3771371052 in words is "three billion, seven hundred seventy-one million, three hundred seventy-one thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 131 153 204 262 306 393 524 612 786 1179 1572 2227 2358 4454 4716 6681 8908 13362 20043 26724 40086 47041 80172 94082 141123 188164 282246 423369 564492 799697 846738 1599394 1693476 2399091 3198788 4798182 6162371 7197273 9596364 12324742 14394546 18487113 24649484 28789092 36974226 55461339 73948452 104760307 110922678 209520614 221845356 314280921 419041228 628561842 942842763 1257123684 1885685526 3771371052