Search a number
-
+
3829475540 = 2251124172227
BaseRepresentation
bin1110010001000001…
…0010100011010100
3100212212211111212102
43210100102203110
530320321204130
61431554541232
7163620001502
oct34420224324
910785744772
103829475540
111695703720
128aa597818
134904b7777
14284845672
151762de645
hexe44128d4

3829475540 has 48 divisors (see below), whose sum is σ = 8809504704. Its totient is φ = 1386739200.

The previous prime is 3829475473. The next prime is 3829475557. The reversal of 3829475540 is 455749283.

It is a super-2 number, since 2×38294755402 = 29329765822916583200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16907 + ... + 89133.

It is an arithmetic number, because the mean of its divisors is an integer number (183531348).

Almost surely, 23829475540 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 3829475540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4404752352).

3829475540 is an abundant number, since it is smaller than the sum of its proper divisors (4980029164).

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

3829475540 is a wasteful number, since it uses less digits than its factorization.

3829475540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72488 (or 72486 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 47.

The square root of 3829475540 is about 61882.7564027331. The cubic root of 3829475540 is about 1564.5151270723.

The spelling of 3829475540 in words is "three billion, eight hundred twenty-nine million, four hundred seventy-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 241 482 964 1205 2410 2651 4820 5302 10604 13255 26510 53020 72227 144454 288908 361135 722270 794497 1444540 1588994 3177988 3972485 7944970 15889940 17406707 34813414 69626828 87033535 174067070 191473777 348134140 382947554 765895108 957368885 1914737770 3829475540