Search a number
-
+
4102670448 = 2432233121289
BaseRepresentation
bin1111010010001001…
…1100100001110000
3101120220220020211100
43310202130201300
531400240423243
61515034244400
7203445060222
oct36442344160
911526806740
104102670448
11181593a038
12965b86700
13504c8b866
142acc3c412
151902a60d3
hexf489c870

4102670448 has 180 divisors, whose sum is σ = 12389541840. Its totient is φ = 1264919040.

The previous prime is 4102670443. The next prime is 4102670459. The reversal of 4102670448 is 8440762014.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102670441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3182188 + ... + 3183476.

It is an arithmetic number, because the mean of its divisors is an integer number (68830788).

Almost surely, 24102670448 is an apocalyptic number.

4102670448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102670448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6194770920).

4102670448 is an abundant number, since it is smaller than the sum of its proper divisors (8286871392).

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

4102670448 is a wasteful number, since it uses less digits than its factorization.

4102670448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1348 counting only the distinct ones).

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

The square root of 4102670448 is about 64052.0916754480. The cubic root of 4102670448 is about 1600.8680768581.

The spelling of 4102670448 in words is "four billion, one hundred two million, six hundred seventy thousand, four hundred forty-eight".