Search a number
-
+
3882007242 = 233203935257
BaseRepresentation
bin1110011101100010…
…1011101011001010
3101000112200101211000
43213120223223022
530422243212432
61441112515430
7165125342241
oct34730535312
911015611730
103882007242
111712323553
129040abb76
1349b34b309
1428b7db958
1517ac1957c
hexe762baca

3882007242 has 32 divisors (see below), whose sum is σ = 8631158400. Its totient is φ = 1293331104.

The previous prime is 3882007237. The next prime is 3882007267. The reversal of 3882007242 is 2427002883.

3882007242 is a `hidden beast` number, since 388 + 200 + 72 + 4 + 2 = 666.

It is a super-3 number, since 3×38820072423 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3882007197 and 3882007206.

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, 92478 + ... + 127734.

It is an arithmetic number, because the mean of its divisors is an integer number (269723700).

Almost surely, 23882007242 is an apocalyptic number.

3882007242 is an abundant number, since it is smaller than the sum of its proper divisors (4749151158).

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

3882007242 is a wasteful number, since it uses less digits than its factorization.

3882007242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37307 (or 37301 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 3882007242 is about 62305.7560904288. The cubic root of 3882007242 is about 1571.6365265939.

The spelling of 3882007242 in words is "three billion, eight hundred eighty-two million, seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 2039 4078 6117 12234 18351 35257 36702 55053 70514 105771 110106 211542 317313 634626 951939 1903878 71889023 143778046 215667069 431334138 647001207 1294002414 1941003621 3882007242